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Simplifying 3(11r + -13) = -7r + 57 + 32r Reorder the terms: 3(-13 + 11r) = -7r + 57 + 32r (-13 * 3 + 11r * 3) = -7r + 57 + 32r (-39 + 33r) = -7r + 57 + 32r Reorder the terms: -39 + 33r = 57 + -7r + 32r Combine like terms: -7r + 32r = 25r -39 + 33r = 57 + 25r Solving -39 + 33r = 57 + 25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25r' to each side of the equation. -39 + 33r + -25r = 57 + 25r + -25r Combine like terms: 33r + -25r = 8r -39 + 8r = 57 + 25r + -25r Combine like terms: 25r + -25r = 0 -39 + 8r = 57 + 0 -39 + 8r = 57 Add '39' to each side of the equation. -39 + 39 + 8r = 57 + 39 Combine like terms: -39 + 39 = 0 0 + 8r = 57 + 39 8r = 57 + 39 Combine like terms: 57 + 39 = 96 8r = 96 Divide each side by '8'. r = 12 Simplifying r = 12
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