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Simplifying 14 + -1(10d + -17) + 6d = 12(d + 2) + 5 Reorder the terms: 14 + -1(-17 + 10d) + 6d = 12(d + 2) + 5 14 + (-17 * -1 + 10d * -1) + 6d = 12(d + 2) + 5 14 + (17 + -10d) + 6d = 12(d + 2) + 5 Combine like terms: 14 + 17 = 31 31 + -10d + 6d = 12(d + 2) + 5 Combine like terms: -10d + 6d = -4d 31 + -4d = 12(d + 2) + 5 Reorder the terms: 31 + -4d = 12(2 + d) + 5 31 + -4d = (2 * 12 + d * 12) + 5 31 + -4d = (24 + 12d) + 5 Reorder the terms: 31 + -4d = 24 + 5 + 12d Combine like terms: 24 + 5 = 29 31 + -4d = 29 + 12d Solving 31 + -4d = 29 + 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. 31 + -4d + -12d = 29 + 12d + -12d Combine like terms: -4d + -12d = -16d 31 + -16d = 29 + 12d + -12d Combine like terms: 12d + -12d = 0 31 + -16d = 29 + 0 31 + -16d = 29 Add '-31' to each side of the equation. 31 + -31 + -16d = 29 + -31 Combine like terms: 31 + -31 = 0 0 + -16d = 29 + -31 -16d = 29 + -31 Combine like terms: 29 + -31 = -2 -16d = -2 Divide each side by '-16'. d = 0.125 Simplifying d = 0.125
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