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Simplifying 3m + 71 = 11m + 15 Reorder the terms: 71 + 3m = 11m + 15 Reorder the terms: 71 + 3m = 15 + 11m Solving 71 + 3m = 15 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 71 + 3m + -11m = 15 + 11m + -11m Combine like terms: 3m + -11m = -8m 71 + -8m = 15 + 11m + -11m Combine like terms: 11m + -11m = 0 71 + -8m = 15 + 0 71 + -8m = 15 Add '-71' to each side of the equation. 71 + -71 + -8m = 15 + -71 Combine like terms: 71 + -71 = 0 0 + -8m = 15 + -71 -8m = 15 + -71 Combine like terms: 15 + -71 = -56 -8m = -56 Divide each side by '-8'. m = 7 Simplifying m = 7
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