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