2g+6(5g-16)=5+19+20g

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Solution for 2g+6(5g-16)=5+19+20g equation:


Simplifying
2g + 6(5g + -16) = 5 + 19 + 20g

Reorder the terms:
2g + 6(-16 + 5g) = 5 + 19 + 20g
2g + (-16 * 6 + 5g * 6) = 5 + 19 + 20g
2g + (-96 + 30g) = 5 + 19 + 20g

Reorder the terms:
-96 + 2g + 30g = 5 + 19 + 20g

Combine like terms: 2g + 30g = 32g
-96 + 32g = 5 + 19 + 20g

Combine like terms: 5 + 19 = 24
-96 + 32g = 24 + 20g

Solving
-96 + 32g = 24 + 20g

Solving for variable 'g'.

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

Add '-20g' to each side of the equation.
-96 + 32g + -20g = 24 + 20g + -20g

Combine like terms: 32g + -20g = 12g
-96 + 12g = 24 + 20g + -20g

Combine like terms: 20g + -20g = 0
-96 + 12g = 24 + 0
-96 + 12g = 24

Add '96' to each side of the equation.
-96 + 96 + 12g = 24 + 96

Combine like terms: -96 + 96 = 0
0 + 12g = 24 + 96
12g = 24 + 96

Combine like terms: 24 + 96 = 120
12g = 120

Divide each side by '12'.
g = 10

Simplifying
g = 10

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