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Simplifying 2(4 + 3r) = 3(r + -1) + 11 (4 * 2 + 3r * 2) = 3(r + -1) + 11 (8 + 6r) = 3(r + -1) + 11 Reorder the terms: 8 + 6r = 3(-1 + r) + 11 8 + 6r = (-1 * 3 + r * 3) + 11 8 + 6r = (-3 + 3r) + 11 Reorder the terms: 8 + 6r = -3 + 11 + 3r Combine like terms: -3 + 11 = 8 8 + 6r = 8 + 3r Add '-8' to each side of the equation. 8 + -8 + 6r = 8 + -8 + 3r Combine like terms: 8 + -8 = 0 0 + 6r = 8 + -8 + 3r 6r = 8 + -8 + 3r Combine like terms: 8 + -8 = 0 6r = 0 + 3r 6r = 3r Solving 6r = 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. 6r + -3r = 3r + -3r Combine like terms: 6r + -3r = 3r 3r = 3r + -3r Combine like terms: 3r + -3r = 0 3r = 0 Divide each side by '3'. r = 0 Simplifying r = 0
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