(4g-3)-(2g+7)=6-g

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Solution for (4g-3)-(2g+7)=6-g equation:


Simplifying
(4g + -3) + -1(2g + 7) = 6 + -1g

Reorder the terms:
(-3 + 4g) + -1(2g + 7) = 6 + -1g

Remove parenthesis around (-3 + 4g)
-3 + 4g + -1(2g + 7) = 6 + -1g

Reorder the terms:
-3 + 4g + -1(7 + 2g) = 6 + -1g
-3 + 4g + (7 * -1 + 2g * -1) = 6 + -1g
-3 + 4g + (-7 + -2g) = 6 + -1g

Reorder the terms:
-3 + -7 + 4g + -2g = 6 + -1g

Combine like terms: -3 + -7 = -10
-10 + 4g + -2g = 6 + -1g

Combine like terms: 4g + -2g = 2g
-10 + 2g = 6 + -1g

Solving
-10 + 2g = 6 + -1g

Solving for variable 'g'.

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

Add 'g' to each side of the equation.
-10 + 2g + g = 6 + -1g + g

Combine like terms: 2g + g = 3g
-10 + 3g = 6 + -1g + g

Combine like terms: -1g + g = 0
-10 + 3g = 6 + 0
-10 + 3g = 6

Add '10' to each side of the equation.
-10 + 10 + 3g = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 3g = 6 + 10
3g = 6 + 10

Combine like terms: 6 + 10 = 16
3g = 16

Divide each side by '3'.
g = 5.333333333

Simplifying
g = 5.333333333

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