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Simplifying 6(2d + -4) = 3(5d + 1) Reorder the terms: 6(-4 + 2d) = 3(5d + 1) (-4 * 6 + 2d * 6) = 3(5d + 1) (-24 + 12d) = 3(5d + 1) Reorder the terms: -24 + 12d = 3(1 + 5d) -24 + 12d = (1 * 3 + 5d * 3) -24 + 12d = (3 + 15d) Solving -24 + 12d = 3 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. -24 + 12d + -15d = 3 + 15d + -15d Combine like terms: 12d + -15d = -3d -24 + -3d = 3 + 15d + -15d Combine like terms: 15d + -15d = 0 -24 + -3d = 3 + 0 -24 + -3d = 3 Add '24' to each side of the equation. -24 + 24 + -3d = 3 + 24 Combine like terms: -24 + 24 = 0 0 + -3d = 3 + 24 -3d = 3 + 24 Combine like terms: 3 + 24 = 27 -3d = 27 Divide each side by '-3'. d = -9 Simplifying d = -9
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