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Simplifying 7(2m + 9) + -11m = 9 + 16 + m Reorder the terms: 7(9 + 2m) + -11m = 9 + 16 + m (9 * 7 + 2m * 7) + -11m = 9 + 16 + m (63 + 14m) + -11m = 9 + 16 + m Combine like terms: 14m + -11m = 3m 63 + 3m = 9 + 16 + m Combine like terms: 9 + 16 = 25 63 + 3m = 25 + m Solving 63 + 3m = 25 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 63 + 3m + -1m = 25 + m + -1m Combine like terms: 3m + -1m = 2m 63 + 2m = 25 + m + -1m Combine like terms: m + -1m = 0 63 + 2m = 25 + 0 63 + 2m = 25 Add '-63' to each side of the equation. 63 + -63 + 2m = 25 + -63 Combine like terms: 63 + -63 = 0 0 + 2m = 25 + -63 2m = 25 + -63 Combine like terms: 25 + -63 = -38 2m = -38 Divide each side by '2'. m = -19 Simplifying m = -19
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