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Simplifying 17 + -8(d + 1) = 13 + -4(d + 5) Reorder the terms: 17 + -8(1 + d) = 13 + -4(d + 5) 17 + (1 * -8 + d * -8) = 13 + -4(d + 5) 17 + (-8 + -8d) = 13 + -4(d + 5) Combine like terms: 17 + -8 = 9 9 + -8d = 13 + -4(d + 5) Reorder the terms: 9 + -8d = 13 + -4(5 + d) 9 + -8d = 13 + (5 * -4 + d * -4) 9 + -8d = 13 + (-20 + -4d) Combine like terms: 13 + -20 = -7 9 + -8d = -7 + -4d Solving 9 + -8d = -7 + -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. 9 + -8d + 4d = -7 + -4d + 4d Combine like terms: -8d + 4d = -4d 9 + -4d = -7 + -4d + 4d Combine like terms: -4d + 4d = 0 9 + -4d = -7 + 0 9 + -4d = -7 Add '-9' to each side of the equation. 9 + -9 + -4d = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -4d = -7 + -9 -4d = -7 + -9 Combine like terms: -7 + -9 = -16 -4d = -16 Divide each side by '-4'. d = 4 Simplifying d = 4
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