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Simplifying 1.33(12 + -3r) + 31 + -12r + -17 = 0 (12 * 1.33 + -3r * 1.33) + 31 + -12r + -17 = 0 (15.96 + -3.99r) + 31 + -12r + -17 = 0 Reorder the terms: 15.96 + 31 + -17 + -3.99r + -12r = 0 Combine like terms: 15.96 + 31 = 46.96 46.96 + -17 + -3.99r + -12r = 0 Combine like terms: 46.96 + -17 = 29.96 29.96 + -3.99r + -12r = 0 Combine like terms: -3.99r + -12r = -15.99r 29.96 + -15.99r = 0 Solving 29.96 + -15.99r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-29.96' to each side of the equation. 29.96 + -29.96 + -15.99r = 0 + -29.96 Combine like terms: 29.96 + -29.96 = 0.00 0.00 + -15.99r = 0 + -29.96 -15.99r = 0 + -29.96 Combine like terms: 0 + -29.96 = -29.96 -15.99r = -29.96 Divide each side by '-15.99'. r = 1.873671044 Simplifying r = 1.873671044
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