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Simplifying 5r + -2(r + -5) = 19 Reorder the terms: 5r + -2(-5 + r) = 19 5r + (-5 * -2 + r * -2) = 19 5r + (10 + -2r) = 19 Reorder the terms: 10 + 5r + -2r = 19 Combine like terms: 5r + -2r = 3r 10 + 3r = 19 Solving 10 + 3r = 19 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3r = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 3r = 19 + -10 3r = 19 + -10 Combine like terms: 19 + -10 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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