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Simplifying 5r + (r + 15) + -3(r + 2) = 0 Reorder the terms: 5r + (15 + r) + -3(r + 2) = 0 Remove parenthesis around (15 + r) 5r + 15 + r + -3(r + 2) = 0 Reorder the terms: 5r + 15 + r + -3(2 + r) = 0 5r + 15 + r + (2 * -3 + r * -3) = 0 5r + 15 + r + (-6 + -3r) = 0 Reorder the terms: 15 + -6 + 5r + r + -3r = 0 Combine like terms: 15 + -6 = 9 9 + 5r + r + -3r = 0 Combine like terms: 5r + r = 6r 9 + 6r + -3r = 0 Combine like terms: 6r + -3r = 3r 9 + 3r = 0 Solving 9 + 3r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3r = 0 + -9 3r = 0 + -9 Combine like terms: 0 + -9 = -9 3r = -9 Divide each side by '3'. r = -3 Simplifying r = -3
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