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Simplifying 18(d + -13) = 6(d + 13) Reorder the terms: 18(-13 + d) = 6(d + 13) (-13 * 18 + d * 18) = 6(d + 13) (-234 + 18d) = 6(d + 13) Reorder the terms: -234 + 18d = 6(13 + d) -234 + 18d = (13 * 6 + d * 6) -234 + 18d = (78 + 6d) Solving -234 + 18d = 78 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -234 + 18d + -6d = 78 + 6d + -6d Combine like terms: 18d + -6d = 12d -234 + 12d = 78 + 6d + -6d Combine like terms: 6d + -6d = 0 -234 + 12d = 78 + 0 -234 + 12d = 78 Add '234' to each side of the equation. -234 + 234 + 12d = 78 + 234 Combine like terms: -234 + 234 = 0 0 + 12d = 78 + 234 12d = 78 + 234 Combine like terms: 78 + 234 = 312 12d = 312 Divide each side by '12'. d = 26 Simplifying d = 26
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