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Simplifying 3(4r + 3) = -1(3 + -1r) Reorder the terms: 3(3 + 4r) = -1(3 + -1r) (3 * 3 + 4r * 3) = -1(3 + -1r) (9 + 12r) = -1(3 + -1r) 9 + 12r = (3 * -1 + -1r * -1) 9 + 12r = (-3 + 1r) Solving 9 + 12r = -3 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 9 + 12r + -1r = -3 + 1r + -1r Combine like terms: 12r + -1r = 11r 9 + 11r = -3 + 1r + -1r Combine like terms: 1r + -1r = 0 9 + 11r = -3 + 0 9 + 11r = -3 Add '-9' to each side of the equation. 9 + -9 + 11r = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 11r = -3 + -9 11r = -3 + -9 Combine like terms: -3 + -9 = -12 11r = -12 Divide each side by '11'. r = -1.090909091 Simplifying r = -1.090909091
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