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Simplifying 6m + 3(2m + 5) + 7 = 11m + 22 Reorder the terms: 6m + 3(5 + 2m) + 7 = 11m + 22 6m + (5 * 3 + 2m * 3) + 7 = 11m + 22 6m + (15 + 6m) + 7 = 11m + 22 Reorder the terms: 15 + 7 + 6m + 6m = 11m + 22 Combine like terms: 15 + 7 = 22 22 + 6m + 6m = 11m + 22 Combine like terms: 6m + 6m = 12m 22 + 12m = 11m + 22 Reorder the terms: 22 + 12m = 22 + 11m Add '-22' to each side of the equation. 22 + -22 + 12m = 22 + -22 + 11m Combine like terms: 22 + -22 = 0 0 + 12m = 22 + -22 + 11m 12m = 22 + -22 + 11m Combine like terms: 22 + -22 = 0 12m = 0 + 11m 12m = 11m Solving 12m = 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. 12m + -11m = 11m + -11m Combine like terms: 12m + -11m = 1m 1m = 11m + -11m Combine like terms: 11m + -11m = 0 1m = 0 Divide each side by '1'. m = 0 Simplifying m = 0
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