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Simplifying 5 + -1(5d + 4) = 8d + -4(d + 14) Reorder the terms: 5 + -1(4 + 5d) = 8d + -4(d + 14) 5 + (4 * -1 + 5d * -1) = 8d + -4(d + 14) 5 + (-4 + -5d) = 8d + -4(d + 14) Combine like terms: 5 + -4 = 1 1 + -5d = 8d + -4(d + 14) Reorder the terms: 1 + -5d = 8d + -4(14 + d) 1 + -5d = 8d + (14 * -4 + d * -4) 1 + -5d = 8d + (-56 + -4d) Reorder the terms: 1 + -5d = -56 + 8d + -4d Combine like terms: 8d + -4d = 4d 1 + -5d = -56 + 4d Solving 1 + -5d = -56 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 1 + -5d + -4d = -56 + 4d + -4d Combine like terms: -5d + -4d = -9d 1 + -9d = -56 + 4d + -4d Combine like terms: 4d + -4d = 0 1 + -9d = -56 + 0 1 + -9d = -56 Add '-1' to each side of the equation. 1 + -1 + -9d = -56 + -1 Combine like terms: 1 + -1 = 0 0 + -9d = -56 + -1 -9d = -56 + -1 Combine like terms: -56 + -1 = -57 -9d = -57 Divide each side by '-9'. d = 6.333333333 Simplifying d = 6.333333333
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