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Simplifying 5(3 + -1d) + 2 = 2 (3 * 5 + -1d * 5) + 2 = 2 (15 + -5d) + 2 = 2 Reorder the terms: 15 + 2 + -5d = 2 Combine like terms: 15 + 2 = 17 17 + -5d = 2 Solving 17 + -5d = 2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5d = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -5d = 2 + -17 -5d = 2 + -17 Combine like terms: 2 + -17 = -15 -5d = -15 Divide each side by '-5'. d = 3 Simplifying d = 3
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