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Simplifying 0.5(4d + -2) = d + 5 Reorder the terms: 0.5(-2 + 4d) = d + 5 (-2 * 0.5 + 4d * 0.5) = d + 5 (-1 + 2d) = d + 5 Reorder the terms: -1 + 2d = 5 + d Solving -1 + 2d = 5 + d 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. -1 + 2d + -1d = 5 + d + -1d Combine like terms: 2d + -1d = 1d -1 + 1d = 5 + d + -1d Combine like terms: d + -1d = 0 -1 + 1d = 5 + 0 -1 + 1d = 5 Add '1' to each side of the equation. -1 + 1 + 1d = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 1d = 5 + 1 1d = 5 + 1 Combine like terms: 5 + 1 = 6 1d = 6 Divide each side by '1'. d = 6 Simplifying d = 6
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