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Simplifying -9(-7d + 3) + -4d = -4(-16d + -2) Reorder the terms: -9(3 + -7d) + -4d = -4(-16d + -2) (3 * -9 + -7d * -9) + -4d = -4(-16d + -2) (-27 + 63d) + -4d = -4(-16d + -2) Combine like terms: 63d + -4d = 59d -27 + 59d = -4(-16d + -2) Reorder the terms: -27 + 59d = -4(-2 + -16d) -27 + 59d = (-2 * -4 + -16d * -4) -27 + 59d = (8 + 64d) Solving -27 + 59d = 8 + 64d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-64d' to each side of the equation. -27 + 59d + -64d = 8 + 64d + -64d Combine like terms: 59d + -64d = -5d -27 + -5d = 8 + 64d + -64d Combine like terms: 64d + -64d = 0 -27 + -5d = 8 + 0 -27 + -5d = 8 Add '27' to each side of the equation. -27 + 27 + -5d = 8 + 27 Combine like terms: -27 + 27 = 0 0 + -5d = 8 + 27 -5d = 8 + 27 Combine like terms: 8 + 27 = 35 -5d = 35 Divide each side by '-5'. d = -7 Simplifying d = -7
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