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Simplifying -5(4d + 5) + 4(d + -6) = 0 Reorder the terms: -5(5 + 4d) + 4(d + -6) = 0 (5 * -5 + 4d * -5) + 4(d + -6) = 0 (-25 + -20d) + 4(d + -6) = 0 Reorder the terms: -25 + -20d + 4(-6 + d) = 0 -25 + -20d + (-6 * 4 + d * 4) = 0 -25 + -20d + (-24 + 4d) = 0 Reorder the terms: -25 + -24 + -20d + 4d = 0 Combine like terms: -25 + -24 = -49 -49 + -20d + 4d = 0 Combine like terms: -20d + 4d = -16d -49 + -16d = 0 Solving -49 + -16d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -16d = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -16d = 0 + 49 -16d = 0 + 49 Combine like terms: 0 + 49 = 49 -16d = 49 Divide each side by '-16'. d = -3.0625 Simplifying d = -3.0625
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