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Simplifying 5 + -0.1(d + -2) = 0.5(5d + -2) Reorder the terms: 5 + -0.1(-2 + d) = 0.5(5d + -2) 5 + (-2 * -0.1 + d * -0.1) = 0.5(5d + -2) 5 + (0.2 + -0.1d) = 0.5(5d + -2) Combine like terms: 5 + 0.2 = 5.2 5.2 + -0.1d = 0.5(5d + -2) Reorder the terms: 5.2 + -0.1d = 0.5(-2 + 5d) 5.2 + -0.1d = (-2 * 0.5 + 5d * 0.5) 5.2 + -0.1d = (-1 + 2.5d) Solving 5.2 + -0.1d = -1 + 2.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2.5d' to each side of the equation. 5.2 + -0.1d + -2.5d = -1 + 2.5d + -2.5d Combine like terms: -0.1d + -2.5d = -2.6d 5.2 + -2.6d = -1 + 2.5d + -2.5d Combine like terms: 2.5d + -2.5d = 0.0 5.2 + -2.6d = -1 + 0.0 5.2 + -2.6d = -1 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -2.6d = -1 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -2.6d = -1 + -5.2 -2.6d = -1 + -5.2 Combine like terms: -1 + -5.2 = -6.2 -2.6d = -6.2 Divide each side by '-2.6'. d = 2.384615385 Simplifying d = 2.384615385
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