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Simplifying 5(-6 + -3d) = (8 + 7d) (-6 * 5 + -3d * 5) = (8 + 7d) (-30 + -15d) = (8 + 7d) Remove parenthesis around (8 + 7d) -30 + -15d = 8 + 7d Solving -30 + -15d = 8 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -30 + -15d + -7d = 8 + 7d + -7d Combine like terms: -15d + -7d = -22d -30 + -22d = 8 + 7d + -7d Combine like terms: 7d + -7d = 0 -30 + -22d = 8 + 0 -30 + -22d = 8 Add '30' to each side of the equation. -30 + 30 + -22d = 8 + 30 Combine like terms: -30 + 30 = 0 0 + -22d = 8 + 30 -22d = 8 + 30 Combine like terms: 8 + 30 = 38 -22d = 38 Divide each side by '-22'. d = -1.727272727 Simplifying d = -1.727272727
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