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Simplifying 5(r + 9) + -2(11r) = 1 Reorder the terms: 5(9 + r) + -2(11r) = 1 (9 * 5 + r * 5) + -2(11r) = 1 (45 + 5r) + -2(11r) = 1 Remove parenthesis around (11r) 45 + 5r + -2 * 11r = 1 Multiply -2 * 11 45 + 5r + -22r = 1 Combine like terms: 5r + -22r = -17r 45 + -17r = 1 Solving 45 + -17r = 1 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -17r = 1 + -45 Combine like terms: 45 + -45 = 0 0 + -17r = 1 + -45 -17r = 1 + -45 Combine like terms: 1 + -45 = -44 -17r = -44 Divide each side by '-17'. r = 2.588235294 Simplifying r = 2.588235294
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