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Simplifying (2d + -1) + -1(7d + -4) = 0 Reorder the terms: (-1 + 2d) + -1(7d + -4) = 0 Remove parenthesis around (-1 + 2d) -1 + 2d + -1(7d + -4) = 0 Reorder the terms: -1 + 2d + -1(-4 + 7d) = 0 -1 + 2d + (-4 * -1 + 7d * -1) = 0 -1 + 2d + (4 + -7d) = 0 Reorder the terms: -1 + 4 + 2d + -7d = 0 Combine like terms: -1 + 4 = 3 3 + 2d + -7d = 0 Combine like terms: 2d + -7d = -5d 3 + -5d = 0 Solving 3 + -5d = 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 + -5d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5d = 0 + -3 -5d = 0 + -3 Combine like terms: 0 + -3 = -3 -5d = -3 Divide each side by '-5'. d = 0.6 Simplifying d = 0.6
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