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Simplifying 3r + -1(r + -5) = -1 + -1r Reorder the terms: 3r + -1(-5 + r) = -1 + -1r 3r + (-5 * -1 + r * -1) = -1 + -1r 3r + (5 + -1r) = -1 + -1r Reorder the terms: 5 + 3r + -1r = -1 + -1r Combine like terms: 3r + -1r = 2r 5 + 2r = -1 + -1r Solving 5 + 2r = -1 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 5 + 2r + r = -1 + -1r + r Combine like terms: 2r + r = 3r 5 + 3r = -1 + -1r + r Combine like terms: -1r + r = 0 5 + 3r = -1 + 0 5 + 3r = -1 Add '-5' to each side of the equation. 5 + -5 + 3r = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 3r = -1 + -5 3r = -1 + -5 Combine like terms: -1 + -5 = -6 3r = -6 Divide each side by '3'. r = -2 Simplifying r = -2
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