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Simplifying -5(8 + 4d) + -9d = 0 (8 * -5 + 4d * -5) + -9d = 0 (-40 + -20d) + -9d = 0 Combine like terms: -20d + -9d = -29d -40 + -29d = 0 Solving -40 + -29d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -29d = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -29d = 0 + 40 -29d = 0 + 40 Combine like terms: 0 + 40 = 40 -29d = 40 Divide each side by '-29'. d = -1.379310345 Simplifying d = -1.379310345
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