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Simplifying 1 + 3(1 + -2r) = -5 + -3r 1 + (1 * 3 + -2r * 3) = -5 + -3r 1 + (3 + -6r) = -5 + -3r Combine like terms: 1 + 3 = 4 4 + -6r = -5 + -3r Solving 4 + -6r = -5 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 4 + -6r + 3r = -5 + -3r + 3r Combine like terms: -6r + 3r = -3r 4 + -3r = -5 + -3r + 3r Combine like terms: -3r + 3r = 0 4 + -3r = -5 + 0 4 + -3r = -5 Add '-4' to each side of the equation. 4 + -4 + -3r = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -3r = -5 + -4 -3r = -5 + -4 Combine like terms: -5 + -4 = -9 -3r = -9 Divide each side by '-3'. r = 3 Simplifying r = 3
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