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Simplifying -7(-10d + -12) = -9(-8d + 3) + -1d Reorder the terms: -7(-12 + -10d) = -9(-8d + 3) + -1d (-12 * -7 + -10d * -7) = -9(-8d + 3) + -1d (84 + 70d) = -9(-8d + 3) + -1d Reorder the terms: 84 + 70d = -9(3 + -8d) + -1d 84 + 70d = (3 * -9 + -8d * -9) + -1d 84 + 70d = (-27 + 72d) + -1d Combine like terms: 72d + -1d = 71d 84 + 70d = -27 + 71d Solving 84 + 70d = -27 + 71d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-71d' to each side of the equation. 84 + 70d + -71d = -27 + 71d + -71d Combine like terms: 70d + -71d = -1d 84 + -1d = -27 + 71d + -71d Combine like terms: 71d + -71d = 0 84 + -1d = -27 + 0 84 + -1d = -27 Add '-84' to each side of the equation. 84 + -84 + -1d = -27 + -84 Combine like terms: 84 + -84 = 0 0 + -1d = -27 + -84 -1d = -27 + -84 Combine like terms: -27 + -84 = -111 -1d = -111 Divide each side by '-1'. d = 111 Simplifying d = 111
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