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Simplifying -6(-2d + 8) + -20d = 12 + -18d + 6d Reorder the terms: -6(8 + -2d) + -20d = 12 + -18d + 6d (8 * -6 + -2d * -6) + -20d = 12 + -18d + 6d (-48 + 12d) + -20d = 12 + -18d + 6d Combine like terms: 12d + -20d = -8d -48 + -8d = 12 + -18d + 6d Combine like terms: -18d + 6d = -12d -48 + -8d = 12 + -12d Solving -48 + -8d = 12 + -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. -48 + -8d + 12d = 12 + -12d + 12d Combine like terms: -8d + 12d = 4d -48 + 4d = 12 + -12d + 12d Combine like terms: -12d + 12d = 0 -48 + 4d = 12 + 0 -48 + 4d = 12 Add '48' to each side of the equation. -48 + 48 + 4d = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 4d = 12 + 48 4d = 12 + 48 Combine like terms: 12 + 48 = 60 4d = 60 Divide each side by '4'. d = 15 Simplifying d = 15
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