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Simplifying 50(4d + -2) = d + 5 Reorder the terms: 50(-2 + 4d) = d + 5 (-2 * 50 + 4d * 50) = d + 5 (-100 + 200d) = d + 5 Reorder the terms: -100 + 200d = 5 + d Solving -100 + 200d = 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. -100 + 200d + -1d = 5 + d + -1d Combine like terms: 200d + -1d = 199d -100 + 199d = 5 + d + -1d Combine like terms: d + -1d = 0 -100 + 199d = 5 + 0 -100 + 199d = 5 Add '100' to each side of the equation. -100 + 100 + 199d = 5 + 100 Combine like terms: -100 + 100 = 0 0 + 199d = 5 + 100 199d = 5 + 100 Combine like terms: 5 + 100 = 105 199d = 105 Divide each side by '199'. d = 0.527638191 Simplifying d = 0.527638191
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