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Simplifying 9 + -2(5d + 4) = -3(2d + -7) + -10 Reorder the terms: 9 + -2(4 + 5d) = -3(2d + -7) + -10 9 + (4 * -2 + 5d * -2) = -3(2d + -7) + -10 9 + (-8 + -10d) = -3(2d + -7) + -10 Combine like terms: 9 + -8 = 1 1 + -10d = -3(2d + -7) + -10 Reorder the terms: 1 + -10d = -3(-7 + 2d) + -10 1 + -10d = (-7 * -3 + 2d * -3) + -10 1 + -10d = (21 + -6d) + -10 Reorder the terms: 1 + -10d = 21 + -10 + -6d Combine like terms: 21 + -10 = 11 1 + -10d = 11 + -6d Solving 1 + -10d = 11 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 1 + -10d + 6d = 11 + -6d + 6d Combine like terms: -10d + 6d = -4d 1 + -4d = 11 + -6d + 6d Combine like terms: -6d + 6d = 0 1 + -4d = 11 + 0 1 + -4d = 11 Add '-1' to each side of the equation. 1 + -1 + -4d = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -4d = 11 + -1 -4d = 11 + -1 Combine like terms: 11 + -1 = 10 -4d = 10 Divide each side by '-4'. d = -2.5 Simplifying d = -2.5
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