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Simplifying 8 + -1(16d + -13) + 4d = 10(d + 14) + 5 Reorder the terms: 8 + -1(-13 + 16d) + 4d = 10(d + 14) + 5 8 + (-13 * -1 + 16d * -1) + 4d = 10(d + 14) + 5 8 + (13 + -16d) + 4d = 10(d + 14) + 5 Combine like terms: 8 + 13 = 21 21 + -16d + 4d = 10(d + 14) + 5 Combine like terms: -16d + 4d = -12d 21 + -12d = 10(d + 14) + 5 Reorder the terms: 21 + -12d = 10(14 + d) + 5 21 + -12d = (14 * 10 + d * 10) + 5 21 + -12d = (140 + 10d) + 5 Reorder the terms: 21 + -12d = 140 + 5 + 10d Combine like terms: 140 + 5 = 145 21 + -12d = 145 + 10d Solving 21 + -12d = 145 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 21 + -12d + -10d = 145 + 10d + -10d Combine like terms: -12d + -10d = -22d 21 + -22d = 145 + 10d + -10d Combine like terms: 10d + -10d = 0 21 + -22d = 145 + 0 21 + -22d = 145 Add '-21' to each side of the equation. 21 + -21 + -22d = 145 + -21 Combine like terms: 21 + -21 = 0 0 + -22d = 145 + -21 -22d = 145 + -21 Combine like terms: 145 + -21 = 124 -22d = 124 Divide each side by '-22'. d = -5.636363636 Simplifying d = -5.636363636
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