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Simplifying 2(d + 6) = 9(d + -1) Reorder the terms: 2(6 + d) = 9(d + -1) (6 * 2 + d * 2) = 9(d + -1) (12 + 2d) = 9(d + -1) Reorder the terms: 12 + 2d = 9(-1 + d) 12 + 2d = (-1 * 9 + d * 9) 12 + 2d = (-9 + 9d) Solving 12 + 2d = -9 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 12 + 2d + -9d = -9 + 9d + -9d Combine like terms: 2d + -9d = -7d 12 + -7d = -9 + 9d + -9d Combine like terms: 9d + -9d = 0 12 + -7d = -9 + 0 12 + -7d = -9 Add '-12' to each side of the equation. 12 + -12 + -7d = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7d = -9 + -12 -7d = -9 + -12 Combine like terms: -9 + -12 = -21 -7d = -21 Divide each side by '-7'. d = 3 Simplifying d = 3
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