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Simplifying 1(1 + -2r) = -5(2r + -1) (1 * 1 + -2r * 1) = -5(2r + -1) (1 + -2r) = -5(2r + -1) Reorder the terms: 1 + -2r = -5(-1 + 2r) 1 + -2r = (-1 * -5 + 2r * -5) 1 + -2r = (5 + -10r) Solving 1 + -2r = 5 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 1 + -2r + 10r = 5 + -10r + 10r Combine like terms: -2r + 10r = 8r 1 + 8r = 5 + -10r + 10r Combine like terms: -10r + 10r = 0 1 + 8r = 5 + 0 1 + 8r = 5 Add '-1' to each side of the equation. 1 + -1 + 8r = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 8r = 5 + -1 8r = 5 + -1 Combine like terms: 5 + -1 = 4 8r = 4 Divide each side by '8'. r = 0.5 Simplifying r = 0.5
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