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Sagot :
Given the following equation:
[tex]2g+6-14g=-6\mleft(9-5\mright)[/tex]You need to solve for "g" in order to find its value. To do it, you can follow the following steps:
1. Solve the subtraction inside the parentheses
[tex]2g+6-14g=-6(4)[/tex]2. Solve the multiplication on the right side:
[tex]2g+6-14g=-24[/tex]3. Apply the Subtraction property of equality by subtracting 6 from both sides of the equation:
[tex]\begin{gathered} 2g+6-14g-(6)=-24-6 \\ 2g-14g=-30 \end{gathered}[/tex]4. Add the like terms:
[tex]-12g=-30[/tex]5. Finally, you can apply the Division property of equality by dividing both sides of the equation by -12:
[tex]\begin{gathered} \frac{-12g}{-12}=\frac{-30}{-12} \\ \\ g=\frac{5}{2} \\ \\ g=2.5 \end{gathered}[/tex]If you subsitute this value into the equation, you get:
[tex]\begin{gathered} 2(2.5)+6-14(2.5)=-6\mleft(9-5\mright) \\ -24=-24(\text{true)} \end{gathered}[/tex]The answer is:
[tex]g=2.5[/tex]
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