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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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