5g-(4+3g)=8+6(2g+5)

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Solution for 5g-(4+3g)=8+6(2g+5) equation:


Simplifying
5g + -1(4 + 3g) = 8 + 6(2g + 5)
5g + (4 * -1 + 3g * -1) = 8 + 6(2g + 5)
5g + (-4 + -3g) = 8 + 6(2g + 5)

Reorder the terms:
-4 + 5g + -3g = 8 + 6(2g + 5)

Combine like terms: 5g + -3g = 2g
-4 + 2g = 8 + 6(2g + 5)

Reorder the terms:
-4 + 2g = 8 + 6(5 + 2g)
-4 + 2g = 8 + (5 * 6 + 2g * 6)
-4 + 2g = 8 + (30 + 12g)

Combine like terms: 8 + 30 = 38
-4 + 2g = 38 + 12g

Solving
-4 + 2g = 38 + 12g

Solving for variable 'g'.

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

Add '-12g' to each side of the equation.
-4 + 2g + -12g = 38 + 12g + -12g

Combine like terms: 2g + -12g = -10g
-4 + -10g = 38 + 12g + -12g

Combine like terms: 12g + -12g = 0
-4 + -10g = 38 + 0
-4 + -10g = 38

Add '4' to each side of the equation.
-4 + 4 + -10g = 38 + 4

Combine like terms: -4 + 4 = 0
0 + -10g = 38 + 4
-10g = 38 + 4

Combine like terms: 38 + 4 = 42
-10g = 42

Divide each side by '-10'.
g = -4.2

Simplifying
g = -4.2

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