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Simplifying 6(m + 4) + 7(m + 6) = 0 Reorder the terms: 6(4 + m) + 7(m + 6) = 0 (4 * 6 + m * 6) + 7(m + 6) = 0 (24 + 6m) + 7(m + 6) = 0 Reorder the terms: 24 + 6m + 7(6 + m) = 0 24 + 6m + (6 * 7 + m * 7) = 0 24 + 6m + (42 + 7m) = 0 Reorder the terms: 24 + 42 + 6m + 7m = 0 Combine like terms: 24 + 42 = 66 66 + 6m + 7m = 0 Combine like terms: 6m + 7m = 13m 66 + 13m = 0 Solving 66 + 13m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 13m = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 13m = 0 + -66 13m = 0 + -66 Combine like terms: 0 + -66 = -66 13m = -66 Divide each side by '13'. m = -5.076923077 Simplifying m = -5.076923077
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