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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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