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Simplifying -1[d + 5] + -4 = -2[d + -6] Reorder the terms: -1[5 + d] + -4 = -2[d + -6] [5 * -1 + d * -1] + -4 = -2[d + -6] [-5 + -1d] + -4 = -2[d + -6] Reorder the terms: -5 + -4 + -1d = -2[d + -6] Combine like terms: -5 + -4 = -9 -9 + -1d = -2[d + -6] Reorder the terms: -9 + -1d = -2[-6 + d] -9 + -1d = [-6 * -2 + d * -2] -9 + -1d = [12 + -2d] Solving -9 + -1d = 12 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -9 + -1d + 2d = 12 + -2d + 2d Combine like terms: -1d + 2d = 1d -9 + 1d = 12 + -2d + 2d Combine like terms: -2d + 2d = 0 -9 + 1d = 12 + 0 -9 + 1d = 12 Add '9' to each side of the equation. -9 + 9 + 1d = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 1d = 12 + 9 1d = 12 + 9 Combine like terms: 12 + 9 = 21 1d = 21 Divide each side by '1'. d = 21 Simplifying d = 21
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