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Simplifying 5(2d + -5) + -2(d + -4) = 0 Reorder the terms: 5(-5 + 2d) + -2(d + -4) = 0 (-5 * 5 + 2d * 5) + -2(d + -4) = 0 (-25 + 10d) + -2(d + -4) = 0 Reorder the terms: -25 + 10d + -2(-4 + d) = 0 -25 + 10d + (-4 * -2 + d * -2) = 0 -25 + 10d + (8 + -2d) = 0 Reorder the terms: -25 + 8 + 10d + -2d = 0 Combine like terms: -25 + 8 = -17 -17 + 10d + -2d = 0 Combine like terms: 10d + -2d = 8d -17 + 8d = 0 Solving -17 + 8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8d = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 8d = 0 + 17 8d = 0 + 17 Combine like terms: 0 + 17 = 17 8d = 17 Divide each side by '8'. d = 2.125 Simplifying d = 2.125
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