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Simplifying 3(r + 5) + -1r = -3 + 8r Reorder the terms: 3(5 + r) + -1r = -3 + 8r (5 * 3 + r * 3) + -1r = -3 + 8r (15 + 3r) + -1r = -3 + 8r Combine like terms: 3r + -1r = 2r 15 + 2r = -3 + 8r Solving 15 + 2r = -3 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 15 + 2r + -8r = -3 + 8r + -8r Combine like terms: 2r + -8r = -6r 15 + -6r = -3 + 8r + -8r Combine like terms: 8r + -8r = 0 15 + -6r = -3 + 0 15 + -6r = -3 Add '-15' to each side of the equation. 15 + -15 + -6r = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -6r = -3 + -15 -6r = -3 + -15 Combine like terms: -3 + -15 = -18 -6r = -18 Divide each side by '-6'. r = 3 Simplifying r = 3
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