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Simplifying 3(11r + -13) = -7 + 57 + 32r Reorder the terms: 3(-13 + 11r) = -7 + 57 + 32r (-13 * 3 + 11r * 3) = -7 + 57 + 32r (-39 + 33r) = -7 + 57 + 32r Combine like terms: -7 + 57 = 50 -39 + 33r = 50 + 32r Solving -39 + 33r = 50 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. -39 + 33r + -32r = 50 + 32r + -32r Combine like terms: 33r + -32r = 1r -39 + 1r = 50 + 32r + -32r Combine like terms: 32r + -32r = 0 -39 + 1r = 50 + 0 -39 + 1r = 50 Add '39' to each side of the equation. -39 + 39 + 1r = 50 + 39 Combine like terms: -39 + 39 = 0 0 + 1r = 50 + 39 1r = 50 + 39 Combine like terms: 50 + 39 = 89 1r = 89 Divide each side by '1'. r = 89 Simplifying r = 89
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