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Simplifying 12 = 5(3r + 2) + -1(r + -1) Reorder the terms: 12 = 5(2 + 3r) + -1(r + -1) 12 = (2 * 5 + 3r * 5) + -1(r + -1) 12 = (10 + 15r) + -1(r + -1) Reorder the terms: 12 = 10 + 15r + -1(-1 + r) 12 = 10 + 15r + (-1 * -1 + r * -1) 12 = 10 + 15r + (1 + -1r) Reorder the terms: 12 = 10 + 1 + 15r + -1r Combine like terms: 10 + 1 = 11 12 = 11 + 15r + -1r Combine like terms: 15r + -1r = 14r 12 = 11 + 14r Solving 12 = 11 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 12 + -14r = 11 + 14r + -14r Combine like terms: 14r + -14r = 0 12 + -14r = 11 + 0 12 + -14r = 11 Add '-12' to each side of the equation. 12 + -12 + -14r = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -14r = 11 + -12 -14r = 11 + -12 Combine like terms: 11 + -12 = -1 -14r = -1 Divide each side by '-14'. r = 0.07142857143 Simplifying r = 0.07142857143
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