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