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Simplifying 5(3 + -1d) = 2d + -1 (3 * 5 + -1d * 5) = 2d + -1 (15 + -5d) = 2d + -1 Reorder the terms: 15 + -5d = -1 + 2d Solving 15 + -5d = -1 + 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 + -5d + -2d = -1 + 2d + -2d Combine like terms: -5d + -2d = -7d 15 + -7d = -1 + 2d + -2d Combine like terms: 2d + -2d = 0 15 + -7d = -1 + 0 15 + -7d = -1 Add '-15' to each side of the equation. 15 + -15 + -7d = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -7d = -1 + -15 -7d = -1 + -15 Combine like terms: -1 + -15 = -16 -7d = -16 Divide each side by '-7'. d = 2.285714286 Simplifying d = 2.285714286
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