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Simplifying 6 + -1(g + 2) = 5(3g + -4) Reorder the terms: 6 + -1(2 + g) = 5(3g + -4) 6 + (2 * -1 + g * -1) = 5(3g + -4) 6 + (-2 + -1g) = 5(3g + -4) Combine like terms: 6 + -2 = 4 4 + -1g = 5(3g + -4) Reorder the terms: 4 + -1g = 5(-4 + 3g) 4 + -1g = (-4 * 5 + 3g * 5) 4 + -1g = (-20 + 15g) Solving 4 + -1g = -20 + 15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. 4 + -1g + -15g = -20 + 15g + -15g Combine like terms: -1g + -15g = -16g 4 + -16g = -20 + 15g + -15g Combine like terms: 15g + -15g = 0 4 + -16g = -20 + 0 4 + -16g = -20 Add '-4' to each side of the equation. 4 + -4 + -16g = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -16g = -20 + -4 -16g = -20 + -4 Combine like terms: -20 + -4 = -24 -16g = -24 Divide each side by '-16'. g = 1.5 Simplifying g = 1.5
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