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Simplifying -3[d + 1] = -2[3d + -9] Reorder the terms: -3[1 + d] = -2[3d + -9] [1 * -3 + d * -3] = -2[3d + -9] [-3 + -3d] = -2[3d + -9] Reorder the terms: -3 + -3d = -2[-9 + 3d] -3 + -3d = [-9 * -2 + 3d * -2] -3 + -3d = [18 + -6d] Solving -3 + -3d = 18 + -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. -3 + -3d + 6d = 18 + -6d + 6d Combine like terms: -3d + 6d = 3d -3 + 3d = 18 + -6d + 6d Combine like terms: -6d + 6d = 0 -3 + 3d = 18 + 0 -3 + 3d = 18 Add '3' to each side of the equation. -3 + 3 + 3d = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 3d = 18 + 3 3d = 18 + 3 Combine like terms: 18 + 3 = 21 3d = 21 Divide each side by '3'. d = 7 Simplifying d = 7
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