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Simplifying 5.50(75 + m) = 1100 (75 * 5.50 + m * 5.50) = 1100 (412.5 + 5.50m) = 1100 Solving 412.5 + 5.50m = 1100 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-412.5' to each side of the equation. 412.5 + -412.5 + 5.50m = 1100 + -412.5 Combine like terms: 412.5 + -412.5 = 0.0 0.0 + 5.50m = 1100 + -412.5 5.50m = 1100 + -412.5 Combine like terms: 1100 + -412.5 = 687.5 5.50m = 687.5 Divide each side by '5.50'. m = 125 Simplifying m = 125
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