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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 = -9d -3 + -9d = 18 + 6d + -6d Combine like terms: 6d + -6d = 0 -3 + -9d = 18 + 0 -3 + -9d = 18 Add '3' to each side of the equation. -3 + 3 + -9d = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -9d = 18 + 3 -9d = 18 + 3 Combine like terms: 18 + 3 = 21 -9d = 21 Divide each side by '-9'. d = -2.333333333 Simplifying d = -2.333333333
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