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Simplifying 5(d + -4) = 100d + 5 Reorder the terms: 5(-4 + d) = 100d + 5 (-4 * 5 + d * 5) = 100d + 5 (-20 + 5d) = 100d + 5 Reorder the terms: -20 + 5d = 5 + 100d Solving -20 + 5d = 5 + 100d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-100d' to each side of the equation. -20 + 5d + -100d = 5 + 100d + -100d Combine like terms: 5d + -100d = -95d -20 + -95d = 5 + 100d + -100d Combine like terms: 100d + -100d = 0 -20 + -95d = 5 + 0 -20 + -95d = 5 Add '20' to each side of the equation. -20 + 20 + -95d = 5 + 20 Combine like terms: -20 + 20 = 0 0 + -95d = 5 + 20 -95d = 5 + 20 Combine like terms: 5 + 20 = 25 -95d = 25 Divide each side by '-95'. d = -0.2631578947 Simplifying d = -0.2631578947
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