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Simplifying (2 + -1d) + -1(2d + -10) + -1(-4d) = 50 Remove parenthesis around (2 + -1d) 2 + -1d + -1(2d + -10) + -1(-4d) = 50 Reorder the terms: 2 + -1d + -1(-10 + 2d) + -1(-4d) = 50 2 + -1d + (-10 * -1 + 2d * -1) + -1(-4d) = 50 2 + -1d + (10 + -2d) + -1(-4d) = 50 Remove parenthesis around (-4d) 2 + -1d + 10 + -2d + -1 * -4d = 50 Multiply -1 * -4 2 + -1d + 10 + -2d + 4d = 50 Reorder the terms: 2 + 10 + -1d + -2d + 4d = 50 Combine like terms: 2 + 10 = 12 12 + -1d + -2d + 4d = 50 Combine like terms: -1d + -2d = -3d 12 + -3d + 4d = 50 Combine like terms: -3d + 4d = 1d 12 + 1d = 50 Solving 12 + 1d = 50 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1d = 50 + -12 Combine like terms: 12 + -12 = 0 0 + 1d = 50 + -12 1d = 50 + -12 Combine like terms: 50 + -12 = 38 1d = 38 Divide each side by '1'. d = 38 Simplifying d = 38
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