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Simplifying 18 + 2d = 5(d + 6) Reorder the terms: 18 + 2d = 5(6 + d) 18 + 2d = (6 * 5 + d * 5) 18 + 2d = (30 + 5d) Solving 18 + 2d = 30 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 18 + 2d + -5d = 30 + 5d + -5d Combine like terms: 2d + -5d = -3d 18 + -3d = 30 + 5d + -5d Combine like terms: 5d + -5d = 0 18 + -3d = 30 + 0 18 + -3d = 30 Add '-18' to each side of the equation. 18 + -18 + -3d = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -3d = 30 + -18 -3d = 30 + -18 Combine like terms: 30 + -18 = 12 -3d = 12 Divide each side by '-3'. d = -4 Simplifying d = -4
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