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Simplifying 3(3r + 9) + -2(r + -1) = 0 Reorder the terms: 3(9 + 3r) + -2(r + -1) = 0 (9 * 3 + 3r * 3) + -2(r + -1) = 0 (27 + 9r) + -2(r + -1) = 0 Reorder the terms: 27 + 9r + -2(-1 + r) = 0 27 + 9r + (-1 * -2 + r * -2) = 0 27 + 9r + (2 + -2r) = 0 Reorder the terms: 27 + 2 + 9r + -2r = 0 Combine like terms: 27 + 2 = 29 29 + 9r + -2r = 0 Combine like terms: 9r + -2r = 7r 29 + 7r = 0 Solving 29 + 7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 7r = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 7r = 0 + -29 7r = 0 + -29 Combine like terms: 0 + -29 = -29 7r = -29 Divide each side by '7'. r = -4.142857143 Simplifying r = -4.142857143
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