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Simplifying 3(5 + -2d) = 3 + -2d (5 * 3 + -2d * 3) = 3 + -2d (15 + -6d) = 3 + -2d Solving 15 + -6d = 3 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 15 + -6d + 2d = 3 + -2d + 2d Combine like terms: -6d + 2d = -4d 15 + -4d = 3 + -2d + 2d Combine like terms: -2d + 2d = 0 15 + -4d = 3 + 0 15 + -4d = 3 Add '-15' to each side of the equation. 15 + -15 + -4d = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -4d = 3 + -15 -4d = 3 + -15 Combine like terms: 3 + -15 = -12 -4d = -12 Divide each side by '-4'. d = 3 Simplifying d = 3
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