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Simplifying -41 = 3(r + 5) + 5r Reorder the terms: -41 = 3(5 + r) + 5r -41 = (5 * 3 + r * 3) + 5r -41 = (15 + 3r) + 5r Combine like terms: 3r + 5r = 8r -41 = 15 + 8r Solving -41 = 15 + 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. -41 + -8r = 15 + 8r + -8r Combine like terms: 8r + -8r = 0 -41 + -8r = 15 + 0 -41 + -8r = 15 Add '41' to each side of the equation. -41 + 41 + -8r = 15 + 41 Combine like terms: -41 + 41 = 0 0 + -8r = 15 + 41 -8r = 15 + 41 Combine like terms: 15 + 41 = 56 -8r = 56 Divide each side by '-8'. r = -7 Simplifying r = -7
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