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