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Simplifying 5(r + 1) + (-8r + 2) = 0 Reorder the terms: 5(1 + r) + (-8r + 2) = 0 (1 * 5 + r * 5) + (-8r + 2) = 0 (5 + 5r) + (-8r + 2) = 0 Reorder the terms: 5 + 5r + (2 + -8r) = 0 Remove parenthesis around (2 + -8r) 5 + 5r + 2 + -8r = 0 Reorder the terms: 5 + 2 + 5r + -8r = 0 Combine like terms: 5 + 2 = 7 7 + 5r + -8r = 0 Combine like terms: 5r + -8r = -3r 7 + -3r = 0 Solving 7 + -3r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3r = 0 + -7 -3r = 0 + -7 Combine like terms: 0 + -7 = -7 -3r = -7 Divide each side by '-3'. r = 2.333333333 Simplifying r = 2.333333333
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