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Simplifying -8(3d + -18) + 7 = -20 + -14d Reorder the terms: -8(-18 + 3d) + 7 = -20 + -14d (-18 * -8 + 3d * -8) + 7 = -20 + -14d (144 + -24d) + 7 = -20 + -14d Reorder the terms: 144 + 7 + -24d = -20 + -14d Combine like terms: 144 + 7 = 151 151 + -24d = -20 + -14d Solving 151 + -24d = -20 + -14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14d' to each side of the equation. 151 + -24d + 14d = -20 + -14d + 14d Combine like terms: -24d + 14d = -10d 151 + -10d = -20 + -14d + 14d Combine like terms: -14d + 14d = 0 151 + -10d = -20 + 0 151 + -10d = -20 Add '-151' to each side of the equation. 151 + -151 + -10d = -20 + -151 Combine like terms: 151 + -151 = 0 0 + -10d = -20 + -151 -10d = -20 + -151 Combine like terms: -20 + -151 = -171 -10d = -171 Divide each side by '-10'. d = 17.1 Simplifying d = 17.1
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