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Simplifying (d + -9) + -1(3d + -1) = 0 Reorder the terms: (-9 + d) + -1(3d + -1) = 0 Remove parenthesis around (-9 + d) -9 + d + -1(3d + -1) = 0 Reorder the terms: -9 + d + -1(-1 + 3d) = 0 -9 + d + (-1 * -1 + 3d * -1) = 0 -9 + d + (1 + -3d) = 0 Reorder the terms: -9 + 1 + d + -3d = 0 Combine like terms: -9 + 1 = -8 -8 + d + -3d = 0 Combine like terms: d + -3d = -2d -8 + -2d = 0 Solving -8 + -2d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2d = 0 + 8 -2d = 0 + 8 Combine like terms: 0 + 8 = 8 -2d = 8 Divide each side by '-2'. d = -4 Simplifying d = -4
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