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Simplifying 12(5d + -13) = 3(10 + -11d) Reorder the terms: 12(-13 + 5d) = 3(10 + -11d) (-13 * 12 + 5d * 12) = 3(10 + -11d) (-156 + 60d) = 3(10 + -11d) -156 + 60d = (10 * 3 + -11d * 3) -156 + 60d = (30 + -33d) Solving -156 + 60d = 30 + -33d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '33d' to each side of the equation. -156 + 60d + 33d = 30 + -33d + 33d Combine like terms: 60d + 33d = 93d -156 + 93d = 30 + -33d + 33d Combine like terms: -33d + 33d = 0 -156 + 93d = 30 + 0 -156 + 93d = 30 Add '156' to each side of the equation. -156 + 156 + 93d = 30 + 156 Combine like terms: -156 + 156 = 0 0 + 93d = 30 + 156 93d = 30 + 156 Combine like terms: 30 + 156 = 186 93d = 186 Divide each side by '93'. d = 2 Simplifying d = 2
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