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Simplifying (3 + 5r) + -1(2r + -5) = 0 Remove parenthesis around (3 + 5r) 3 + 5r + -1(2r + -5) = 0 Reorder the terms: 3 + 5r + -1(-5 + 2r) = 0 3 + 5r + (-5 * -1 + 2r * -1) = 0 3 + 5r + (5 + -2r) = 0 Reorder the terms: 3 + 5 + 5r + -2r = 0 Combine like terms: 3 + 5 = 8 8 + 5r + -2r = 0 Combine like terms: 5r + -2r = 3r 8 + 3r = 0 Solving 8 + 3r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3r = 0 + -8 3r = 0 + -8 Combine like terms: 0 + -8 = -8 3r = -8 Divide each side by '3'. r = -2.666666667 Simplifying r = -2.666666667
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