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Simplifying 3(-13d + 8) = -2(18d + -6) Reorder the terms: 3(8 + -13d) = -2(18d + -6) (8 * 3 + -13d * 3) = -2(18d + -6) (24 + -39d) = -2(18d + -6) Reorder the terms: 24 + -39d = -2(-6 + 18d) 24 + -39d = (-6 * -2 + 18d * -2) 24 + -39d = (12 + -36d) Solving 24 + -39d = 12 + -36d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '36d' to each side of the equation. 24 + -39d + 36d = 12 + -36d + 36d Combine like terms: -39d + 36d = -3d 24 + -3d = 12 + -36d + 36d Combine like terms: -36d + 36d = 0 24 + -3d = 12 + 0 24 + -3d = 12 Add '-24' to each side of the equation. 24 + -24 + -3d = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -3d = 12 + -24 -3d = 12 + -24 Combine like terms: 12 + -24 = -12 -3d = -12 Divide each side by '-3'. d = 4 Simplifying d = 4
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