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Simplifying 11m + 65 = 4m + 100 Reorder the terms: 65 + 11m = 4m + 100 Reorder the terms: 65 + 11m = 100 + 4m Solving 65 + 11m = 100 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 65 + 11m + -4m = 100 + 4m + -4m Combine like terms: 11m + -4m = 7m 65 + 7m = 100 + 4m + -4m Combine like terms: 4m + -4m = 0 65 + 7m = 100 + 0 65 + 7m = 100 Add '-65' to each side of the equation. 65 + -65 + 7m = 100 + -65 Combine like terms: 65 + -65 = 0 0 + 7m = 100 + -65 7m = 100 + -65 Combine like terms: 100 + -65 = 35 7m = 35 Divide each side by '7'. m = 5 Simplifying m = 5
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