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Simplifying 3(4m + 7) + -2(m + 5) = 0 Reorder the terms: 3(7 + 4m) + -2(m + 5) = 0 (7 * 3 + 4m * 3) + -2(m + 5) = 0 (21 + 12m) + -2(m + 5) = 0 Reorder the terms: 21 + 12m + -2(5 + m) = 0 21 + 12m + (5 * -2 + m * -2) = 0 21 + 12m + (-10 + -2m) = 0 Reorder the terms: 21 + -10 + 12m + -2m = 0 Combine like terms: 21 + -10 = 11 11 + 12m + -2m = 0 Combine like terms: 12m + -2m = 10m 11 + 10m = 0 Solving 11 + 10m = 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 + -11 + 10m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10m = 0 + -11 10m = 0 + -11 Combine like terms: 0 + -11 = -11 10m = -11 Divide each side by '10'. m = -1.1 Simplifying m = -1.1
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