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Simplifying -3(4d + -12) + -25 = -9(-2d + 4) + 17 Reorder the terms: -3(-12 + 4d) + -25 = -9(-2d + 4) + 17 (-12 * -3 + 4d * -3) + -25 = -9(-2d + 4) + 17 (36 + -12d) + -25 = -9(-2d + 4) + 17 Reorder the terms: 36 + -25 + -12d = -9(-2d + 4) + 17 Combine like terms: 36 + -25 = 11 11 + -12d = -9(-2d + 4) + 17 Reorder the terms: 11 + -12d = -9(4 + -2d) + 17 11 + -12d = (4 * -9 + -2d * -9) + 17 11 + -12d = (-36 + 18d) + 17 Reorder the terms: 11 + -12d = -36 + 17 + 18d Combine like terms: -36 + 17 = -19 11 + -12d = -19 + 18d Solving 11 + -12d = -19 + 18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18d' to each side of the equation. 11 + -12d + -18d = -19 + 18d + -18d Combine like terms: -12d + -18d = -30d 11 + -30d = -19 + 18d + -18d Combine like terms: 18d + -18d = 0 11 + -30d = -19 + 0 11 + -30d = -19 Add '-11' to each side of the equation. 11 + -11 + -30d = -19 + -11 Combine like terms: 11 + -11 = 0 0 + -30d = -19 + -11 -30d = -19 + -11 Combine like terms: -19 + -11 = -30 -30d = -30 Divide each side by '-30'. d = 1 Simplifying d = 1
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