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Simplifying -4(3 + -6d) + 5 = 9(2d + -2) + -3d (3 * -4 + -6d * -4) + 5 = 9(2d + -2) + -3d (-12 + 24d) + 5 = 9(2d + -2) + -3d Reorder the terms: -12 + 5 + 24d = 9(2d + -2) + -3d Combine like terms: -12 + 5 = -7 -7 + 24d = 9(2d + -2) + -3d Reorder the terms: -7 + 24d = 9(-2 + 2d) + -3d -7 + 24d = (-2 * 9 + 2d * 9) + -3d -7 + 24d = (-18 + 18d) + -3d Combine like terms: 18d + -3d = 15d -7 + 24d = -18 + 15d Solving -7 + 24d = -18 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. -7 + 24d + -15d = -18 + 15d + -15d Combine like terms: 24d + -15d = 9d -7 + 9d = -18 + 15d + -15d Combine like terms: 15d + -15d = 0 -7 + 9d = -18 + 0 -7 + 9d = -18 Add '7' to each side of the equation. -7 + 7 + 9d = -18 + 7 Combine like terms: -7 + 7 = 0 0 + 9d = -18 + 7 9d = -18 + 7 Combine like terms: -18 + 7 = -11 9d = -11 Divide each side by '9'. d = -1.222222222 Simplifying d = -1.222222222
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