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Simplifying 8(d + 5) = 12d + -8 Reorder the terms: 8(5 + d) = 12d + -8 (5 * 8 + d * 8) = 12d + -8 (40 + 8d) = 12d + -8 Reorder the terms: 40 + 8d = -8 + 12d Solving 40 + 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. 40 + 8d + -12d = -8 + 12d + -12d Combine like terms: 8d + -12d = -4d 40 + -4d = -8 + 12d + -12d Combine like terms: 12d + -12d = 0 40 + -4d = -8 + 0 40 + -4d = -8 Add '-40' to each side of the equation. 40 + -40 + -4d = -8 + -40 Combine like terms: 40 + -40 = 0 0 + -4d = -8 + -40 -4d = -8 + -40 Combine like terms: -8 + -40 = -48 -4d = -48 Divide each side by '-4'. d = 12 Simplifying d = 12
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