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Simplifying 5(4 + -1r) + -2(3r + 10) = 22 (4 * 5 + -1r * 5) + -2(3r + 10) = 22 (20 + -5r) + -2(3r + 10) = 22 Reorder the terms: 20 + -5r + -2(10 + 3r) = 22 20 + -5r + (10 * -2 + 3r * -2) = 22 20 + -5r + (-20 + -6r) = 22 Reorder the terms: 20 + -20 + -5r + -6r = 22 Combine like terms: 20 + -20 = 0 0 + -5r + -6r = 22 -5r + -6r = 22 Combine like terms: -5r + -6r = -11r -11r = 22 Solving -11r = 22 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '-11'. r = -2 Simplifying r = -2
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