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Simplifying (8d + 5d + -3) + -1(-9d + 3d) = 0 Reorder the terms: (-3 + 8d + 5d) + -1(-9d + 3d) = 0 Combine like terms: 8d + 5d = 13d (-3 + 13d) + -1(-9d + 3d) = 0 Remove parenthesis around (-3 + 13d) -3 + 13d + -1(-9d + 3d) = 0 Combine like terms: -9d + 3d = -6d -3 + 13d + -1(-6d) = 0 Remove parenthesis around (-6d) -3 + 13d + -1 * -6d = 0 Multiply -1 * -6 -3 + 13d + 6d = 0 Combine like terms: 13d + 6d = 19d -3 + 19d = 0 Solving -3 + 19d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 19d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 19d = 0 + 3 19d = 0 + 3 Combine like terms: 0 + 3 = 3 19d = 3 Divide each side by '19'. d = 0.1578947368 Simplifying d = 0.1578947368
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