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Simplifying -404 = 5(4 + -10r) + -3r -404 = (4 * 5 + -10r * 5) + -3r -404 = (20 + -50r) + -3r Combine like terms: -50r + -3r = -53r -404 = 20 + -53r Solving -404 = 20 + -53r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '53r' to each side of the equation. -404 + 53r = 20 + -53r + 53r Combine like terms: -53r + 53r = 0 -404 + 53r = 20 + 0 -404 + 53r = 20 Add '404' to each side of the equation. -404 + 404 + 53r = 20 + 404 Combine like terms: -404 + 404 = 0 0 + 53r = 20 + 404 53r = 20 + 404 Combine like terms: 20 + 404 = 424 53r = 424 Divide each side by '53'. r = 8 Simplifying r = 8
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