.25(8g+4)+9=.5(2g+4)

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Solution for .25(8g+4)+9=.5(2g+4) equation:


Simplifying
0.25(8g + 4) + 9 = 0.5(2g + 4)

Reorder the terms:
0.25(4 + 8g) + 9 = 0.5(2g + 4)
(4 * 0.25 + 8g * 0.25) + 9 = 0.5(2g + 4)
(1 + 2g) + 9 = 0.5(2g + 4)

Reorder the terms:
1 + 9 + 2g = 0.5(2g + 4)

Combine like terms: 1 + 9 = 10
10 + 2g = 0.5(2g + 4)

Reorder the terms:
10 + 2g = 0.5(4 + 2g)
10 + 2g = (4 * 0.5 + 2g * 0.5)
10 + 2g = (2 + 1g)

Solving
10 + 2g = 2 + 1g

Solving for variable 'g'.

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

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

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

Combine like terms: 1g + -1g = 0
10 + 1g = 2 + 0
10 + 1g = 2

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

Combine like terms: 10 + -10 = 0
0 + 1g = 2 + -10
1g = 2 + -10

Combine like terms: 2 + -10 = -8
1g = -8

Divide each side by '1'.
g = -8

Simplifying
g = -8

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