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Simplifying 2(d + 4) = 1(d + -4) Reorder the terms: 2(4 + d) = 1(d + -4) (4 * 2 + d * 2) = 1(d + -4) (8 + 2d) = 1(d + -4) Reorder the terms: 8 + 2d = 1(-4 + d) 8 + 2d = (-4 * 1 + d * 1) 8 + 2d = (-4 + 1d) Solving 8 + 2d = -4 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 8 + 2d + -1d = -4 + 1d + -1d Combine like terms: 2d + -1d = 1d 8 + 1d = -4 + 1d + -1d Combine like terms: 1d + -1d = 0 8 + 1d = -4 + 0 8 + 1d = -4 Add '-8' to each side of the equation. 8 + -8 + 1d = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 1d = -4 + -8 1d = -4 + -8 Combine like terms: -4 + -8 = -12 1d = -12 Divide each side by '1'. d = -12 Simplifying d = -12
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