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Simplifying 75m = 50(12) + 125(m + -12) Multiply 50 * 12 75m = 600 + 125(m + -12) Reorder the terms: 75m = 600 + 125(-12 + m) 75m = 600 + (-12 * 125 + m * 125) 75m = 600 + (-1500 + 125m) Combine like terms: 600 + -1500 = -900 75m = -900 + 125m Solving 75m = -900 + 125m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-125m' to each side of the equation. 75m + -125m = -900 + 125m + -125m Combine like terms: 75m + -125m = -50m -50m = -900 + 125m + -125m Combine like terms: 125m + -125m = 0 -50m = -900 + 0 -50m = -900 Divide each side by '-50'. m = 18 Simplifying m = 18
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