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Simplifying 4(2g + -3) = 5(g + -3) Reorder the terms: 4(-3 + 2g) = 5(g + -3) (-3 * 4 + 2g * 4) = 5(g + -3) (-12 + 8g) = 5(g + -3) Reorder the terms: -12 + 8g = 5(-3 + g) -12 + 8g = (-3 * 5 + g * 5) -12 + 8g = (-15 + 5g) Solving -12 + 8g = -15 + 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. -12 + 8g + -5g = -15 + 5g + -5g Combine like terms: 8g + -5g = 3g -12 + 3g = -15 + 5g + -5g Combine like terms: 5g + -5g = 0 -12 + 3g = -15 + 0 -12 + 3g = -15 Add '12' to each side of the equation. -12 + 12 + 3g = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 3g = -15 + 12 3g = -15 + 12 Combine like terms: -15 + 12 = -3 3g = -3 Divide each side by '3'. g = -1 Simplifying g = -1
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