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Simplifying 5(5r + 1) + -1r = -105 Reorder the terms: 5(1 + 5r) + -1r = -105 (1 * 5 + 5r * 5) + -1r = -105 (5 + 25r) + -1r = -105 Combine like terms: 25r + -1r = 24r 5 + 24r = -105 Solving 5 + 24r = -105 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 24r = -105 + -5 Combine like terms: 5 + -5 = 0 0 + 24r = -105 + -5 24r = -105 + -5 Combine like terms: -105 + -5 = -110 24r = -110 Divide each side by '24'. r = -4.583333333 Simplifying r = -4.583333333
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