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Simplifying -82 + 6r = 10(15 + -11r) -82 + 6r = (15 * 10 + -11r * 10) -82 + 6r = (150 + -110r) Solving -82 + 6r = 150 + -110r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '110r' to each side of the equation. -82 + 6r + 110r = 150 + -110r + 110r Combine like terms: 6r + 110r = 116r -82 + 116r = 150 + -110r + 110r Combine like terms: -110r + 110r = 0 -82 + 116r = 150 + 0 -82 + 116r = 150 Add '82' to each side of the equation. -82 + 82 + 116r = 150 + 82 Combine like terms: -82 + 82 = 0 0 + 116r = 150 + 82 116r = 150 + 82 Combine like terms: 150 + 82 = 232 116r = 232 Divide each side by '116'. r = 2 Simplifying r = 2
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