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Simplifying 5(4d + -2) = d + 5 Reorder the terms: 5(-2 + 4d) = d + 5 (-2 * 5 + 4d * 5) = d + 5 (-10 + 20d) = d + 5 Reorder the terms: -10 + 20d = 5 + d Solving -10 + 20d = 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. -10 + 20d + -1d = 5 + d + -1d Combine like terms: 20d + -1d = 19d -10 + 19d = 5 + d + -1d Combine like terms: d + -1d = 0 -10 + 19d = 5 + 0 -10 + 19d = 5 Add '10' to each side of the equation. -10 + 10 + 19d = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 19d = 5 + 10 19d = 5 + 10 Combine like terms: 5 + 10 = 15 19d = 15 Divide each side by '19'. d = 0.7894736842 Simplifying d = 0.7894736842
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