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Simplifying 8r + -1(5 + -3r) = 5 + r 8r + (5 * -1 + -3r * -1) = 5 + r 8r + (-5 + 3r) = 5 + r Reorder the terms: -5 + 8r + 3r = 5 + r Combine like terms: 8r + 3r = 11r -5 + 11r = 5 + r Solving -5 + 11r = 5 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -5 + 11r + -1r = 5 + r + -1r Combine like terms: 11r + -1r = 10r -5 + 10r = 5 + r + -1r Combine like terms: r + -1r = 0 -5 + 10r = 5 + 0 -5 + 10r = 5 Add '5' to each side of the equation. -5 + 5 + 10r = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 10r = 5 + 5 10r = 5 + 5 Combine like terms: 5 + 5 = 10 10r = 10 Divide each side by '10'. r = 1 Simplifying r = 1
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