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Simplifying 12 = 3(5d + -6) Reorder the terms: 12 = 3(-6 + 5d) 12 = (-6 * 3 + 5d * 3) 12 = (-18 + 15d) Solving 12 = -18 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. 12 + -15d = -18 + 15d + -15d Combine like terms: 15d + -15d = 0 12 + -15d = -18 + 0 12 + -15d = -18 Add '-12' to each side of the equation. 12 + -12 + -15d = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -15d = -18 + -12 -15d = -18 + -12 Combine like terms: -18 + -12 = -30 -15d = -30 Divide each side by '-15'. d = 2 Simplifying d = 2
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