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Sagot :
So,
First, I'd like to note that it is required to show work. You shouldn't need to ask for steps.
7(2p + 3) - 8 = 6p + 29
Distribute
14p + 21 - 8 = 6p + 29
Collect Like Terms
14p + 13 = 6p + 29
Subtract 6p from both sides
8p + 13 = 29
Subtract 13 from both sides
8p = 16
Divide both sides by 8
p = 2
Check
7(2(2) + 3) - 8 = 6(2) + 29
Simplify inside the parentheses first.
7(4 + 3) - 8 = 6(2) + 29
7(7) - 8 = 6(2) + 29
Now, distribute.
49 - 8 = 12 + 29
Collect Like Terms
41 = 41 This checks.
S = { 2 }
First, I'd like to note that it is required to show work. You shouldn't need to ask for steps.
7(2p + 3) - 8 = 6p + 29
Distribute
14p + 21 - 8 = 6p + 29
Collect Like Terms
14p + 13 = 6p + 29
Subtract 6p from both sides
8p + 13 = 29
Subtract 13 from both sides
8p = 16
Divide both sides by 8
p = 2
Check
7(2(2) + 3) - 8 = 6(2) + 29
Simplify inside the parentheses first.
7(4 + 3) - 8 = 6(2) + 29
7(7) - 8 = 6(2) + 29
Now, distribute.
49 - 8 = 12 + 29
Collect Like Terms
41 = 41 This checks.
S = { 2 }
[tex]7(2p + 3) -8 = 6p + 29 \\ [/tex]
Simplify both sides of the equation.
[tex]14p + 13 = 6p +29[/tex]
Subtract both sides by 6.
[tex]14p + 13 - 6p = 6p + 29 - 6p \\ 8p + 13 = 29[/tex]
Subtract both sides of the equation by 13.
[tex]8p + 13 - 13 = 29 - 13 \\ 8p = 16[/tex]
Divide both sides by 8.
[tex] \frac{8p}{8} = \frac{16}{8} = p = 2[/tex]
Simplify both sides of the equation.
[tex]14p + 13 = 6p +29[/tex]
Subtract both sides by 6.
[tex]14p + 13 - 6p = 6p + 29 - 6p \\ 8p + 13 = 29[/tex]
Subtract both sides of the equation by 13.
[tex]8p + 13 - 13 = 29 - 13 \\ 8p = 16[/tex]
Divide both sides by 8.
[tex] \frac{8p}{8} = \frac{16}{8} = p = 2[/tex]
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