18=2(1g+4)+3(2g-6)

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Solution for 18=2(1g+4)+3(2g-6) equation:


Simplifying
18 = 2(1g + 4) + 3(2g + -6)

Reorder the terms:
18 = 2(4 + 1g) + 3(2g + -6)
18 = (4 * 2 + 1g * 2) + 3(2g + -6)
18 = (8 + 2g) + 3(2g + -6)

Reorder the terms:
18 = 8 + 2g + 3(-6 + 2g)
18 = 8 + 2g + (-6 * 3 + 2g * 3)
18 = 8 + 2g + (-18 + 6g)

Reorder the terms:
18 = 8 + -18 + 2g + 6g

Combine like terms: 8 + -18 = -10
18 = -10 + 2g + 6g

Combine like terms: 2g + 6g = 8g
18 = -10 + 8g

Solving
18 = -10 + 8g

Solving for variable 'g'.

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

Add '-8g' to each side of the equation.
18 + -8g = -10 + 8g + -8g

Combine like terms: 8g + -8g = 0
18 + -8g = -10 + 0
18 + -8g = -10

Add '-18' to each side of the equation.
18 + -18 + -8g = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -8g = -10 + -18
-8g = -10 + -18

Combine like terms: -10 + -18 = -28
-8g = -28

Divide each side by '-8'.
g = 3.5

Simplifying
g = 3.5

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