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Simplifying 5(-3d + 6) = 165 Reorder the terms: 5(6 + -3d) = 165 (6 * 5 + -3d * 5) = 165 (30 + -15d) = 165 Solving 30 + -15d = 165 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 = 165 + -30 Combine like terms: 30 + -30 = 0 0 + -15d = 165 + -30 -15d = 165 + -30 Combine like terms: 165 + -30 = 135 -15d = 135 Divide each side by '-15'. d = -9 Simplifying d = -9
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