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Simplifying 0.1d + -2 = 0.5(d + -2) Reorder the terms: -2 + 0.1d = 0.5(d + -2) Reorder the terms: -2 + 0.1d = 0.5(-2 + d) -2 + 0.1d = (-2 * 0.5 + d * 0.5) -2 + 0.1d = (-1 + 0.5d) Solving -2 + 0.1d = -1 + 0.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.5d' to each side of the equation. -2 + 0.1d + -0.5d = -1 + 0.5d + -0.5d Combine like terms: 0.1d + -0.5d = -0.4d -2 + -0.4d = -1 + 0.5d + -0.5d Combine like terms: 0.5d + -0.5d = 0.0 -2 + -0.4d = -1 + 0.0 -2 + -0.4d = -1 Add '2' to each side of the equation. -2 + 2 + -0.4d = -1 + 2 Combine like terms: -2 + 2 = 0 0 + -0.4d = -1 + 2 -0.4d = -1 + 2 Combine like terms: -1 + 2 = 1 -0.4d = 1 Divide each side by '-0.4'. d = -2.5 Simplifying d = -2.5
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