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Simplifying 4(12 + 12d) = -3(14 + -14d) (12 * 4 + 12d * 4) = -3(14 + -14d) (48 + 48d) = -3(14 + -14d) 48 + 48d = (14 * -3 + -14d * -3) 48 + 48d = (-42 + 42d) Solving 48 + 48d = -42 + 42d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-42d' to each side of the equation. 48 + 48d + -42d = -42 + 42d + -42d Combine like terms: 48d + -42d = 6d 48 + 6d = -42 + 42d + -42d Combine like terms: 42d + -42d = 0 48 + 6d = -42 + 0 48 + 6d = -42 Add '-48' to each side of the equation. 48 + -48 + 6d = -42 + -48 Combine like terms: 48 + -48 = 0 0 + 6d = -42 + -48 6d = -42 + -48 Combine like terms: -42 + -48 = -90 6d = -90 Divide each side by '6'. d = -15 Simplifying d = -15
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