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Simplifying 4(-7g + 5) = -2(12g + -4) Reorder the terms: 4(5 + -7g) = -2(12g + -4) (5 * 4 + -7g * 4) = -2(12g + -4) (20 + -28g) = -2(12g + -4) Reorder the terms: 20 + -28g = -2(-4 + 12g) 20 + -28g = (-4 * -2 + 12g * -2) 20 + -28g = (8 + -24g) Solving 20 + -28g = 8 + -24g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '24g' to each side of the equation. 20 + -28g + 24g = 8 + -24g + 24g Combine like terms: -28g + 24g = -4g 20 + -4g = 8 + -24g + 24g Combine like terms: -24g + 24g = 0 20 + -4g = 8 + 0 20 + -4g = 8 Add '-20' to each side of the equation. 20 + -20 + -4g = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -4g = 8 + -20 -4g = 8 + -20 Combine like terms: 8 + -20 = -12 -4g = -12 Divide each side by '-4'. g = 3 Simplifying g = 3
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