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Simplifying 2r + -5(r + -9) = 27 Reorder the terms: 2r + -5(-9 + r) = 27 2r + (-9 * -5 + r * -5) = 27 2r + (45 + -5r) = 27 Reorder the terms: 45 + 2r + -5r = 27 Combine like terms: 2r + -5r = -3r 45 + -3r = 27 Solving 45 + -3r = 27 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 + -3r = 27 + -45 Combine like terms: 45 + -45 = 0 0 + -3r = 27 + -45 -3r = 27 + -45 Combine like terms: 27 + -45 = -18 -3r = -18 Divide each side by '-3'. r = 6 Simplifying r = 6
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