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Simplifying -3(d + -8) = 5(3d + 7) Reorder the terms: -3(-8 + d) = 5(3d + 7) (-8 * -3 + d * -3) = 5(3d + 7) (24 + -3d) = 5(3d + 7) Reorder the terms: 24 + -3d = 5(7 + 3d) 24 + -3d = (7 * 5 + 3d * 5) 24 + -3d = (35 + 15d) Solving 24 + -3d = 35 + 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 + -3d + -15d = 35 + 15d + -15d Combine like terms: -3d + -15d = -18d 24 + -18d = 35 + 15d + -15d Combine like terms: 15d + -15d = 0 24 + -18d = 35 + 0 24 + -18d = 35 Add '-24' to each side of the equation. 24 + -24 + -18d = 35 + -24 Combine like terms: 24 + -24 = 0 0 + -18d = 35 + -24 -18d = 35 + -24 Combine like terms: 35 + -24 = 11 -18d = 11 Divide each side by '-18'. d = -0.6111111111 Simplifying d = -0.6111111111
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