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Simplifying 6(1 + 7m) = -5m + 6 (1 * 6 + 7m * 6) = -5m + 6 (6 + 42m) = -5m + 6 Reorder the terms: 6 + 42m = 6 + -5m Add '-6' to each side of the equation. 6 + -6 + 42m = 6 + -6 + -5m Combine like terms: 6 + -6 = 0 0 + 42m = 6 + -6 + -5m 42m = 6 + -6 + -5m Combine like terms: 6 + -6 = 0 42m = 0 + -5m 42m = -5m Solving 42m = -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 42m + 5m = -5m + 5m Combine like terms: 42m + 5m = 47m 47m = -5m + 5m Combine like terms: -5m + 5m = 0 47m = 0 Divide each side by '47'. m = 0 Simplifying m = 0
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