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Simplifying -8(-1d + 2) + 5d + -2 = 0 Reorder the terms: -8(2 + -1d) + 5d + -2 = 0 (2 * -8 + -1d * -8) + 5d + -2 = 0 (-16 + 8d) + 5d + -2 = 0 Reorder the terms: -16 + -2 + 8d + 5d = 0 Combine like terms: -16 + -2 = -18 -18 + 8d + 5d = 0 Combine like terms: 8d + 5d = 13d -18 + 13d = 0 Solving -18 + 13d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 13d = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 13d = 0 + 18 13d = 0 + 18 Combine like terms: 0 + 18 = 18 13d = 18 Divide each side by '13'. d = 1.384615385 Simplifying d = 1.384615385
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