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Simplifying 102 = 6(d + 9) Reorder the terms: 102 = 6(9 + d) 102 = (9 * 6 + d * 6) 102 = (54 + 6d) Solving 102 = 54 + 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. 102 + -6d = 54 + 6d + -6d Combine like terms: 6d + -6d = 0 102 + -6d = 54 + 0 102 + -6d = 54 Add '-102' to each side of the equation. 102 + -102 + -6d = 54 + -102 Combine like terms: 102 + -102 = 0 0 + -6d = 54 + -102 -6d = 54 + -102 Combine like terms: 54 + -102 = -48 -6d = -48 Divide each side by '-6'. d = 8 Simplifying d = 8
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