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Simplifying 40 = 5(3d + 2) Reorder the terms: 40 = 5(2 + 3d) 40 = (2 * 5 + 3d * 5) 40 = (10 + 15d) Solving 40 = 10 + 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. 40 + -15d = 10 + 15d + -15d Combine like terms: 15d + -15d = 0 40 + -15d = 10 + 0 40 + -15d = 10 Add '-40' to each side of the equation. 40 + -40 + -15d = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -15d = 10 + -40 -15d = 10 + -40 Combine like terms: 10 + -40 = -30 -15d = -30 Divide each side by '-15'. d = 2 Simplifying d = 2
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