5(g-4)=7(2g+1)

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Solution for 5(g-4)=7(2g+1) equation:


Simplifying
5(g + -4) = 7(2g + 1)

Reorder the terms:
5(-4 + g) = 7(2g + 1)
(-4 * 5 + g * 5) = 7(2g + 1)
(-20 + 5g) = 7(2g + 1)

Reorder the terms:
-20 + 5g = 7(1 + 2g)
-20 + 5g = (1 * 7 + 2g * 7)
-20 + 5g = (7 + 14g)

Solving
-20 + 5g = 7 + 14g

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-14g' to each side of the equation.
-20 + 5g + -14g = 7 + 14g + -14g

Combine like terms: 5g + -14g = -9g
-20 + -9g = 7 + 14g + -14g

Combine like terms: 14g + -14g = 0
-20 + -9g = 7 + 0
-20 + -9g = 7

Add '20' to each side of the equation.
-20 + 20 + -9g = 7 + 20

Combine like terms: -20 + 20 = 0
0 + -9g = 7 + 20
-9g = 7 + 20

Combine like terms: 7 + 20 = 27
-9g = 27

Divide each side by '-9'.
g = -3

Simplifying
g = -3

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