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Simplifying 6d + 9 = 3(d + -1) Reorder the terms: 9 + 6d = 3(d + -1) Reorder the terms: 9 + 6d = 3(-1 + d) 9 + 6d = (-1 * 3 + d * 3) 9 + 6d = (-3 + 3d) Solving 9 + 6d = -3 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 9 + 6d + -3d = -3 + 3d + -3d Combine like terms: 6d + -3d = 3d 9 + 3d = -3 + 3d + -3d Combine like terms: 3d + -3d = 0 9 + 3d = -3 + 0 9 + 3d = -3 Add '-9' to each side of the equation. 9 + -9 + 3d = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 3d = -3 + -9 3d = -3 + -9 Combine like terms: -3 + -9 = -12 3d = -12 Divide each side by '3'. d = -4 Simplifying d = -4
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