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Simplifying 0.5(d + -2) = d + 5 Reorder the terms: 0.5(-2 + d) = d + 5 (-2 * 0.5 + d * 0.5) = d + 5 (-1 + 0.5d) = d + 5 Reorder the terms: -1 + 0.5d = 5 + d Solving -1 + 0.5d = 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 + 0.5d + -1d = 5 + d + -1d Combine like terms: 0.5d + -1d = -0.5d -1 + -0.5d = 5 + d + -1d Combine like terms: d + -1d = 0 -1 + -0.5d = 5 + 0 -1 + -0.5d = 5 Add '1' to each side of the equation. -1 + 1 + -0.5d = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -0.5d = 5 + 1 -0.5d = 5 + 1 Combine like terms: 5 + 1 = 6 -0.5d = 6 Divide each side by '-0.5'. d = -12 Simplifying d = -12
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