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Simplifying 8(d + 15) = 12d + -8 Reorder the terms: 8(15 + d) = 12d + -8 (15 * 8 + d * 8) = 12d + -8 (120 + 8d) = 12d + -8 Reorder the terms: 120 + 8d = -8 + 12d Solving 120 + 8d = -8 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 120 + 8d + -12d = -8 + 12d + -12d Combine like terms: 8d + -12d = -4d 120 + -4d = -8 + 12d + -12d Combine like terms: 12d + -12d = 0 120 + -4d = -8 + 0 120 + -4d = -8 Add '-120' to each side of the equation. 120 + -120 + -4d = -8 + -120 Combine like terms: 120 + -120 = 0 0 + -4d = -8 + -120 -4d = -8 + -120 Combine like terms: -8 + -120 = -128 -4d = -128 Divide each side by '-4'. d = 32 Simplifying d = 32
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