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Simplifying 5(4d + -2) = 10d + -5 Reorder the terms: 5(-2 + 4d) = 10d + -5 (-2 * 5 + 4d * 5) = 10d + -5 (-10 + 20d) = 10d + -5 Reorder the terms: -10 + 20d = -5 + 10d Solving -10 + 20d = -5 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -10 + 20d + -10d = -5 + 10d + -10d Combine like terms: 20d + -10d = 10d -10 + 10d = -5 + 10d + -10d Combine like terms: 10d + -10d = 0 -10 + 10d = -5 + 0 -10 + 10d = -5 Add '10' to each side of the equation. -10 + 10 + 10d = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 10d = -5 + 10 10d = -5 + 10 Combine like terms: -5 + 10 = 5 10d = 5 Divide each side by '10'. d = 0.5 Simplifying d = 0.5
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