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Simplifying -2(1 + -3r) + 5 = 3(4 + 3r) (1 * -2 + -3r * -2) + 5 = 3(4 + 3r) (-2 + 6r) + 5 = 3(4 + 3r) Reorder the terms: -2 + 5 + 6r = 3(4 + 3r) Combine like terms: -2 + 5 = 3 3 + 6r = 3(4 + 3r) 3 + 6r = (4 * 3 + 3r * 3) 3 + 6r = (12 + 9r) Solving 3 + 6r = 12 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 3 + 6r + -9r = 12 + 9r + -9r Combine like terms: 6r + -9r = -3r 3 + -3r = 12 + 9r + -9r Combine like terms: 9r + -9r = 0 3 + -3r = 12 + 0 3 + -3r = 12 Add '-3' to each side of the equation. 3 + -3 + -3r = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3r = 12 + -3 -3r = 12 + -3 Combine like terms: 12 + -3 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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