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Simplifying 5(-20 + -12g) = -5(10 + 10g) (-20 * 5 + -12g * 5) = -5(10 + 10g) (-100 + -60g) = -5(10 + 10g) -100 + -60g = (10 * -5 + 10g * -5) -100 + -60g = (-50 + -50g) Solving -100 + -60g = -50 + -50g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '50g' to each side of the equation. -100 + -60g + 50g = -50 + -50g + 50g Combine like terms: -60g + 50g = -10g -100 + -10g = -50 + -50g + 50g Combine like terms: -50g + 50g = 0 -100 + -10g = -50 + 0 -100 + -10g = -50 Add '100' to each side of the equation. -100 + 100 + -10g = -50 + 100 Combine like terms: -100 + 100 = 0 0 + -10g = -50 + 100 -10g = -50 + 100 Combine like terms: -50 + 100 = 50 -10g = 50 Divide each side by '-10'. g = -5 Simplifying g = -5
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