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