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Simplifying 11(m + 1 + 6n) = 0 Reorder the terms: 11(1 + m + 6n) = 0 (1 * 11 + m * 11 + 6n * 11) = 0 (11 + 11m + 66n) = 0 Solving 11 + 11m + 66n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 11m + -11 + 66n = 0 + -11 Reorder the terms: 11 + -11 + 11m + 66n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 11m + 66n = 0 + -11 11m + 66n = 0 + -11 Combine like terms: 0 + -11 = -11 11m + 66n = -11 Add '-66n' to each side of the equation. 11m + 66n + -66n = -11 + -66n Combine like terms: 66n + -66n = 0 11m + 0 = -11 + -66n 11m = -11 + -66n Divide each side by '11'. m = -1 + -6n Simplifying m = -1 + -6n
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