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Simplifying 5d + 2(2d + -3) + -1(-2) = 0 Reorder the terms: 5d + 2(-3 + 2d) + -1(-2) = 0 5d + (-3 * 2 + 2d * 2) + -1(-2) = 0 5d + (-6 + 4d) + -1(-2) = 0 Multiply -1 * -2 5d + -6 + 4d + 2 = 0 Reorder the terms: -6 + 2 + 5d + 4d = 0 Combine like terms: -6 + 2 = -4 -4 + 5d + 4d = 0 Combine like terms: 5d + 4d = 9d -4 + 9d = 0 Solving -4 + 9d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9d = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9d = 0 + 4 9d = 0 + 4 Combine like terms: 0 + 4 = 4 9d = 4 Divide each side by '9'. d = 0.4444444444 Simplifying d = 0.4444444444
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