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Simplifying 66 + -8 + -1(2d + 7) + -5d = 0 Reorder the terms: 66 + -8 + -1(7 + 2d) + -5d = 0 66 + -8 + (7 * -1 + 2d * -1) + -5d = 0 66 + -8 + (-7 + -2d) + -5d = 0 Combine like terms: 66 + -8 = 58 58 + -7 + -2d + -5d = 0 Combine like terms: 58 + -7 = 51 51 + -2d + -5d = 0 Combine like terms: -2d + -5d = -7d 51 + -7d = 0 Solving 51 + -7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -7d = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -7d = 0 + -51 -7d = 0 + -51 Combine like terms: 0 + -51 = -51 -7d = -51 Divide each side by '-7'. d = 7.285714286 Simplifying d = 7.285714286
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