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Simplifying 7 + 2(3d + -3) = 3(d + 5) Reorder the terms: 7 + 2(-3 + 3d) = 3(d + 5) 7 + (-3 * 2 + 3d * 2) = 3(d + 5) 7 + (-6 + 6d) = 3(d + 5) Combine like terms: 7 + -6 = 1 1 + 6d = 3(d + 5) Reorder the terms: 1 + 6d = 3(5 + d) 1 + 6d = (5 * 3 + d * 3) 1 + 6d = (15 + 3d) Solving 1 + 6d = 15 + 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. 1 + 6d + -3d = 15 + 3d + -3d Combine like terms: 6d + -3d = 3d 1 + 3d = 15 + 3d + -3d Combine like terms: 3d + -3d = 0 1 + 3d = 15 + 0 1 + 3d = 15 Add '-1' to each side of the equation. 1 + -1 + 3d = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 3d = 15 + -1 3d = 15 + -1 Combine like terms: 15 + -1 = 14 3d = 14 Divide each side by '3'. d = 4.666666667 Simplifying d = 4.666666667
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