7g-19=3(g-3)

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Solution for 7g-19=3(g-3) equation:


Simplifying
7g + -19 = 3(g + -3)

Reorder the terms:
-19 + 7g = 3(g + -3)

Reorder the terms:
-19 + 7g = 3(-3 + g)
-19 + 7g = (-3 * 3 + g * 3)
-19 + 7g = (-9 + 3g)

Solving
-19 + 7g = -9 + 3g

Solving for variable 'g'.

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

Add '-3g' to each side of the equation.
-19 + 7g + -3g = -9 + 3g + -3g

Combine like terms: 7g + -3g = 4g
-19 + 4g = -9 + 3g + -3g

Combine like terms: 3g + -3g = 0
-19 + 4g = -9 + 0
-19 + 4g = -9

Add '19' to each side of the equation.
-19 + 19 + 4g = -9 + 19

Combine like terms: -19 + 19 = 0
0 + 4g = -9 + 19
4g = -9 + 19

Combine like terms: -9 + 19 = 10
4g = 10

Divide each side by '4'.
g = 2.5

Simplifying
g = 2.5

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