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Simplifying -8(3 + 2d) + 10(d + 7) = 58 (3 * -8 + 2d * -8) + 10(d + 7) = 58 (-24 + -16d) + 10(d + 7) = 58 Reorder the terms: -24 + -16d + 10(7 + d) = 58 -24 + -16d + (7 * 10 + d * 10) = 58 -24 + -16d + (70 + 10d) = 58 Reorder the terms: -24 + 70 + -16d + 10d = 58 Combine like terms: -24 + 70 = 46 46 + -16d + 10d = 58 Combine like terms: -16d + 10d = -6d 46 + -6d = 58 Solving 46 + -6d = 58 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -6d = 58 + -46 Combine like terms: 46 + -46 = 0 0 + -6d = 58 + -46 -6d = 58 + -46 Combine like terms: 58 + -46 = 12 -6d = 12 Divide each side by '-6'. d = -2 Simplifying d = -2
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