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Simplifying 7(m + 8) + -6m = 101 Reorder the terms: 7(8 + m) + -6m = 101 (8 * 7 + m * 7) + -6m = 101 (56 + 7m) + -6m = 101 Combine like terms: 7m + -6m = 1m 56 + 1m = 101 Solving 56 + 1m = 101 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 1m = 101 + -56 Combine like terms: 56 + -56 = 0 0 + 1m = 101 + -56 1m = 101 + -56 Combine like terms: 101 + -56 = 45 1m = 45 Divide each side by '1'. m = 45 Simplifying m = 45
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