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Simplifying 2(3r + 14) + -3(r + 1) = 11 Reorder the terms: 2(14 + 3r) + -3(r + 1) = 11 (14 * 2 + 3r * 2) + -3(r + 1) = 11 (28 + 6r) + -3(r + 1) = 11 Reorder the terms: 28 + 6r + -3(1 + r) = 11 28 + 6r + (1 * -3 + r * -3) = 11 28 + 6r + (-3 + -3r) = 11 Reorder the terms: 28 + -3 + 6r + -3r = 11 Combine like terms: 28 + -3 = 25 25 + 6r + -3r = 11 Combine like terms: 6r + -3r = 3r 25 + 3r = 11 Solving 25 + 3r = 11 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3r = 11 + -25 Combine like terms: 25 + -25 = 0 0 + 3r = 11 + -25 3r = 11 + -25 Combine like terms: 11 + -25 = -14 3r = -14 Divide each side by '3'. r = -4.666666667 Simplifying r = -4.666666667
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