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Simplifying 3(3R + 2) + -1(R + -6) = 13 Reorder the terms: 3(2 + 3R) + -1(R + -6) = 13 (2 * 3 + 3R * 3) + -1(R + -6) = 13 (6 + 9R) + -1(R + -6) = 13 Reorder the terms: 6 + 9R + -1(-6 + R) = 13 6 + 9R + (-6 * -1 + R * -1) = 13 6 + 9R + (6 + -1R) = 13 Reorder the terms: 6 + 6 + 9R + -1R = 13 Combine like terms: 6 + 6 = 12 12 + 9R + -1R = 13 Combine like terms: 9R + -1R = 8R 12 + 8R = 13 Solving 12 + 8R = 13 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8R = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 8R = 13 + -12 8R = 13 + -12 Combine like terms: 13 + -12 = 1 8R = 1 Divide each side by '8'. R = 0.125 Simplifying R = 0.125
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