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Simplifying 18 + 7d = 3(4d + 9) Reorder the terms: 18 + 7d = 3(9 + 4d) 18 + 7d = (9 * 3 + 4d * 3) 18 + 7d = (27 + 12d) Solving 18 + 7d = 27 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 18 + 7d + -12d = 27 + 12d + -12d Combine like terms: 7d + -12d = -5d 18 + -5d = 27 + 12d + -12d Combine like terms: 12d + -12d = 0 18 + -5d = 27 + 0 18 + -5d = 27 Add '-18' to each side of the equation. 18 + -18 + -5d = 27 + -18 Combine like terms: 18 + -18 = 0 0 + -5d = 27 + -18 -5d = 27 + -18 Combine like terms: 27 + -18 = 9 -5d = 9 Divide each side by '-5'. d = -1.8 Simplifying d = -1.8
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