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Simplifying 3(1 + -3r) = -1(8r + 3) (1 * 3 + -3r * 3) = -1(8r + 3) (3 + -9r) = -1(8r + 3) Reorder the terms: 3 + -9r = -1(3 + 8r) 3 + -9r = (3 * -1 + 8r * -1) 3 + -9r = (-3 + -8r) Solving 3 + -9r = -3 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 3 + -9r + 8r = -3 + -8r + 8r Combine like terms: -9r + 8r = -1r 3 + -1r = -3 + -8r + 8r Combine like terms: -8r + 8r = 0 3 + -1r = -3 + 0 3 + -1r = -3 Add '-3' to each side of the equation. 3 + -3 + -1r = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = -3 + -3 -1r = -3 + -3 Combine like terms: -3 + -3 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6
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