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Simplifying -15 + -3(-4g + 20) = -5(-1g + 1) Reorder the terms: -15 + -3(20 + -4g) = -5(-1g + 1) -15 + (20 * -3 + -4g * -3) = -5(-1g + 1) -15 + (-60 + 12g) = -5(-1g + 1) Combine like terms: -15 + -60 = -75 -75 + 12g = -5(-1g + 1) Reorder the terms: -75 + 12g = -5(1 + -1g) -75 + 12g = (1 * -5 + -1g * -5) -75 + 12g = (-5 + 5g) Solving -75 + 12g = -5 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. -75 + 12g + -5g = -5 + 5g + -5g Combine like terms: 12g + -5g = 7g -75 + 7g = -5 + 5g + -5g Combine like terms: 5g + -5g = 0 -75 + 7g = -5 + 0 -75 + 7g = -5 Add '75' to each side of the equation. -75 + 75 + 7g = -5 + 75 Combine like terms: -75 + 75 = 0 0 + 7g = -5 + 75 7g = -5 + 75 Combine like terms: -5 + 75 = 70 7g = 70 Divide each side by '7'. g = 10 Simplifying g = 10
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