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Simplifying -9(-1d + 16) = -3 + 6(8d + 9) Reorder the terms: -9(16 + -1d) = -3 + 6(8d + 9) (16 * -9 + -1d * -9) = -3 + 6(8d + 9) (-144 + 9d) = -3 + 6(8d + 9) Reorder the terms: -144 + 9d = -3 + 6(9 + 8d) -144 + 9d = -3 + (9 * 6 + 8d * 6) -144 + 9d = -3 + (54 + 48d) Combine like terms: -3 + 54 = 51 -144 + 9d = 51 + 48d Solving -144 + 9d = 51 + 48d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-48d' to each side of the equation. -144 + 9d + -48d = 51 + 48d + -48d Combine like terms: 9d + -48d = -39d -144 + -39d = 51 + 48d + -48d Combine like terms: 48d + -48d = 0 -144 + -39d = 51 + 0 -144 + -39d = 51 Add '144' to each side of the equation. -144 + 144 + -39d = 51 + 144 Combine like terms: -144 + 144 = 0 0 + -39d = 51 + 144 -39d = 51 + 144 Combine like terms: 51 + 144 = 195 -39d = 195 Divide each side by '-39'. d = -5 Simplifying d = -5
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