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Simplifying 15r + 3(3 + -1r) = 1 15r + (3 * 3 + -1r * 3) = 1 15r + (9 + -3r) = 1 Reorder the terms: 9 + 15r + -3r = 1 Combine like terms: 15r + -3r = 12r 9 + 12r = 1 Solving 9 + 12r = 1 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 12r = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 12r = 1 + -9 12r = 1 + -9 Combine like terms: 1 + -9 = -8 12r = -8 Divide each side by '12'. r = -0.6666666667 Simplifying r = -0.6666666667
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