4g-(10-g)=4(11-g)

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Solution for 4g-(10-g)=4(11-g) equation:


Simplifying
4g + -1(10 + -1g) = 4(11 + -1g)
4g + (10 * -1 + -1g * -1) = 4(11 + -1g)
4g + (-10 + 1g) = 4(11 + -1g)

Reorder the terms:
-10 + 4g + 1g = 4(11 + -1g)

Combine like terms: 4g + 1g = 5g
-10 + 5g = 4(11 + -1g)
-10 + 5g = (11 * 4 + -1g * 4)
-10 + 5g = (44 + -4g)

Solving
-10 + 5g = 44 + -4g

Solving for variable 'g'.

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

Add '4g' to each side of the equation.
-10 + 5g + 4g = 44 + -4g + 4g

Combine like terms: 5g + 4g = 9g
-10 + 9g = 44 + -4g + 4g

Combine like terms: -4g + 4g = 0
-10 + 9g = 44 + 0
-10 + 9g = 44

Add '10' to each side of the equation.
-10 + 10 + 9g = 44 + 10

Combine like terms: -10 + 10 = 0
0 + 9g = 44 + 10
9g = 44 + 10

Combine like terms: 44 + 10 = 54
9g = 54

Divide each side by '9'.
g = 6

Simplifying
g = 6

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