2[3(g+3)-(g+2)]=5(g+1)+4

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Solution for 2[3(g+3)-(g+2)]=5(g+1)+4 equation:


Simplifying
2[3(g + 3) + -1(g + 2)] = 5(g + 1) + 4

Reorder the terms:
2[3(3 + g) + -1(g + 2)] = 5(g + 1) + 4
2[(3 * 3 + g * 3) + -1(g + 2)] = 5(g + 1) + 4
2[(9 + 3g) + -1(g + 2)] = 5(g + 1) + 4

Reorder the terms:
2[9 + 3g + -1(2 + g)] = 5(g + 1) + 4
2[9 + 3g + (2 * -1 + g * -1)] = 5(g + 1) + 4
2[9 + 3g + (-2 + -1g)] = 5(g + 1) + 4

Reorder the terms:
2[9 + -2 + 3g + -1g] = 5(g + 1) + 4

Combine like terms: 9 + -2 = 7
2[7 + 3g + -1g] = 5(g + 1) + 4

Combine like terms: 3g + -1g = 2g
2[7 + 2g] = 5(g + 1) + 4
[7 * 2 + 2g * 2] = 5(g + 1) + 4
[14 + 4g] = 5(g + 1) + 4

Reorder the terms:
14 + 4g = 5(1 + g) + 4
14 + 4g = (1 * 5 + g * 5) + 4
14 + 4g = (5 + 5g) + 4

Reorder the terms:
14 + 4g = 5 + 4 + 5g

Combine like terms: 5 + 4 = 9
14 + 4g = 9 + 5g

Solving
14 + 4g = 9 + 5g

Solving for variable 'g'.

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

Add '-5g' to each side of the equation.
14 + 4g + -5g = 9 + 5g + -5g

Combine like terms: 4g + -5g = -1g
14 + -1g = 9 + 5g + -5g

Combine like terms: 5g + -5g = 0
14 + -1g = 9 + 0
14 + -1g = 9

Add '-14' to each side of the equation.
14 + -14 + -1g = 9 + -14

Combine like terms: 14 + -14 = 0
0 + -1g = 9 + -14
-1g = 9 + -14

Combine like terms: 9 + -14 = -5
-1g = -5

Divide each side by '-1'.
g = 5

Simplifying
g = 5

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