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Simplifying 10r + -96 = 4(1 + -5r) Reorder the terms: -96 + 10r = 4(1 + -5r) -96 + 10r = (1 * 4 + -5r * 4) -96 + 10r = (4 + -20r) Solving -96 + 10r = 4 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. -96 + 10r + 20r = 4 + -20r + 20r Combine like terms: 10r + 20r = 30r -96 + 30r = 4 + -20r + 20r Combine like terms: -20r + 20r = 0 -96 + 30r = 4 + 0 -96 + 30r = 4 Add '96' to each side of the equation. -96 + 96 + 30r = 4 + 96 Combine like terms: -96 + 96 = 0 0 + 30r = 4 + 96 30r = 4 + 96 Combine like terms: 4 + 96 = 100 30r = 100 Divide each side by '30'. r = 3.333333333 Simplifying r = 3.333333333
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