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Simplifying 5d + -2 + -1(d + 8) = 0 Reorder the terms: 5d + -2 + -1(8 + d) = 0 5d + -2 + (8 * -1 + d * -1) = 0 5d + -2 + (-8 + -1d) = 0 Reorder the terms: -2 + -8 + 5d + -1d = 0 Combine like terms: -2 + -8 = -10 -10 + 5d + -1d = 0 Combine like terms: 5d + -1d = 4d -10 + 4d = 0 Solving -10 + 4d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4d = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4d = 0 + 10 4d = 0 + 10 Combine like terms: 0 + 10 = 10 4d = 10 Divide each side by '4'. d = 2.5 Simplifying d = 2.5
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