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Simplifying 2(5 + -1d) = 2 + -4d (5 * 2 + -1d * 2) = 2 + -4d (10 + -2d) = 2 + -4d Solving 10 + -2d = 2 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 10 + -2d + 4d = 2 + -4d + 4d Combine like terms: -2d + 4d = 2d 10 + 2d = 2 + -4d + 4d Combine like terms: -4d + 4d = 0 10 + 2d = 2 + 0 10 + 2d = 2 Add '-10' to each side of the equation. 10 + -10 + 2d = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 2d = 2 + -10 2d = 2 + -10 Combine like terms: 2 + -10 = -8 2d = -8 Divide each side by '2'. d = -4 Simplifying d = -4
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