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Simplifying 5(-6 + -3d) + -60 = 3(8 + 7d) (-6 * 5 + -3d * 5) + -60 = 3(8 + 7d) (-30 + -15d) + -60 = 3(8 + 7d) Reorder the terms: -30 + -60 + -15d = 3(8 + 7d) Combine like terms: -30 + -60 = -90 -90 + -15d = 3(8 + 7d) -90 + -15d = (8 * 3 + 7d * 3) -90 + -15d = (24 + 21d) Solving -90 + -15d = 24 + 21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21d' to each side of the equation. -90 + -15d + -21d = 24 + 21d + -21d Combine like terms: -15d + -21d = -36d -90 + -36d = 24 + 21d + -21d Combine like terms: 21d + -21d = 0 -90 + -36d = 24 + 0 -90 + -36d = 24 Add '90' to each side of the equation. -90 + 90 + -36d = 24 + 90 Combine like terms: -90 + 90 = 0 0 + -36d = 24 + 90 -36d = 24 + 90 Combine like terms: 24 + 90 = 114 -36d = 114 Divide each side by '-36'. d = -3.166666667 Simplifying d = -3.166666667
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