0.25(-16)(g-4)=0.5(-4)(10-g)

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Solution for 0.25(-16)(g-4)=0.5(-4)(10-g) equation: 


Simplifying
0.25(-16)(g + -4) = 0.5(-4)(10 + -1g)

Reorder the terms:
0.25 * -16(-4 + g) = 0.5(-4)(10 + -1g)

Multiply 0.25 * -16
-4(-4 + g) = 0.5(-4)(10 + -1g)
(-4 * -4 + g * -4) = 0.5(-4)(10 + -1g)
(16 + -4g) = 0.5(-4)(10 + -1g)

Multiply 0.5 * -4
16 + -4g = -2(10 + -1g)
16 + -4g = (10 * -2 + -1g * -2)
16 + -4g = (-20 + 2g)

Solving
16 + -4g = -20 + 2g

Solving for variable 'g'.

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

Add '-2g' to each side of the equation.
16 + -4g + -2g = -20 + 2g + -2g

Combine like terms: -4g + -2g = -6g
16 + -6g = -20 + 2g + -2g

Combine like terms: 2g + -2g = 0
16 + -6g = -20 + 0
16 + -6g = -20

Add '-16' to each side of the equation.
16 + -16 + -6g = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -6g = -20 + -16
-6g = -20 + -16

Combine like terms: -20 + -16 = -36
-6g = -36

Divide each side by '-6'.
g = 6

Simplifying
g = 6

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