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Simplifying 5(-6 + -3d) = 3(8 + 7b) (-6 * 5 + -3d * 5) = 3(8 + 7b) (-30 + -15d) = 3(8 + 7b) -30 + -15d = (8 * 3 + 7b * 3) -30 + -15d = (24 + 21b) Solving -30 + -15d = 24 + 21b Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -15d = 24 + 30 + 21b Combine like terms: -30 + 30 = 0 0 + -15d = 24 + 30 + 21b -15d = 24 + 30 + 21b Combine like terms: 24 + 30 = 54 -15d = 54 + 21b Divide each side by '-15'. d = -3.6 + -1.4b Simplifying d = -3.6 + -1.4b
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