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Simplifying 3m + -1(14 + -4m) + 3(m + 7) + -6 = 0 3m + (14 * -1 + -4m * -1) + 3(m + 7) + -6 = 0 3m + (-14 + 4m) + 3(m + 7) + -6 = 0 Reorder the terms: 3m + -14 + 4m + 3(7 + m) + -6 = 0 3m + -14 + 4m + (7 * 3 + m * 3) + -6 = 0 3m + -14 + 4m + (21 + 3m) + -6 = 0 Reorder the terms: -14 + 21 + -6 + 3m + 4m + 3m = 0 Combine like terms: -14 + 21 = 7 7 + -6 + 3m + 4m + 3m = 0 Combine like terms: 7 + -6 = 1 1 + 3m + 4m + 3m = 0 Combine like terms: 3m + 4m = 7m 1 + 7m + 3m = 0 Combine like terms: 7m + 3m = 10m 1 + 10m = 0 Solving 1 + 10m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10m = 0 + -1 10m = 0 + -1 Combine like terms: 0 + -1 = -1 10m = -1 Divide each side by '10'. m = -0.1 Simplifying m = -0.1
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