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Simplifying 0.5(2d + 8) = 7(2d + 8) Reorder the terms: 0.5(8 + 2d) = 7(2d + 8) (8 * 0.5 + 2d * 0.5) = 7(2d + 8) (4 + 1d) = 7(2d + 8) Reorder the terms: 4 + 1d = 7(8 + 2d) 4 + 1d = (8 * 7 + 2d * 7) 4 + 1d = (56 + 14d) Solving 4 + 1d = 56 + 14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14d' to each side of the equation. 4 + 1d + -14d = 56 + 14d + -14d Combine like terms: 1d + -14d = -13d 4 + -13d = 56 + 14d + -14d Combine like terms: 14d + -14d = 0 4 + -13d = 56 + 0 4 + -13d = 56 Add '-4' to each side of the equation. 4 + -4 + -13d = 56 + -4 Combine like terms: 4 + -4 = 0 0 + -13d = 56 + -4 -13d = 56 + -4 Combine like terms: 56 + -4 = 52 -13d = 52 Divide each side by '-13'. d = -4 Simplifying d = -4
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