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7+4(r+3)=9r-6
show work pls AND HELP ASAP


Sagot :

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: r = 5[/tex]

Step-by-step explanation:

[tex]7 + 4(r + 3) = 9r - 6[/tex]

  • distribute 4 through the parentheses

[tex]7 + 4r + 12 = 9r - 6[/tex]

  • add numbers

[tex]19 + 4r = 9r - 6[/tex]

  • move the variable to the left hand side and change its sign

[tex]19 + 9r = - 6[/tex]

  • move the constant to the right hand side and change its sign

[tex]4r - 9 = - 6 - 19[/tex]

  • collect like terms

[tex] - 5r = - 6 - 19[/tex]

  • calculate the difference

[tex] - 5r = - 25[/tex]

  • divide both sides of the equation by -5

[tex] = \: \: \: \: r = 5[/tex]

hope it helps