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Simplifying 5(-6 + -3d) = 3(8 + -7d) (-6 * 5 + -3d * 5) = 3(8 + -7d) (-30 + -15d) = 3(8 + -7d) -30 + -15d = (8 * 3 + -7d * 3) -30 + -15d = (24 + -21d) Solving -30 + -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. -30 + -15d + 21d = 24 + -21d + 21d Combine like terms: -15d + 21d = 6d -30 + 6d = 24 + -21d + 21d Combine like terms: -21d + 21d = 0 -30 + 6d = 24 + 0 -30 + 6d = 24 Add '30' to each side of the equation. -30 + 30 + 6d = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 6d = 24 + 30 6d = 24 + 30 Combine like terms: 24 + 30 = 54 6d = 54 Divide each side by '6'. d = 9 Simplifying d = 9
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