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Simplifying 2(4m + 7) + -1(m + -5) = 0 Reorder the terms: 2(7 + 4m) + -1(m + -5) = 0 (7 * 2 + 4m * 2) + -1(m + -5) = 0 (14 + 8m) + -1(m + -5) = 0 Reorder the terms: 14 + 8m + -1(-5 + m) = 0 14 + 8m + (-5 * -1 + m * -1) = 0 14 + 8m + (5 + -1m) = 0 Reorder the terms: 14 + 5 + 8m + -1m = 0 Combine like terms: 14 + 5 = 19 19 + 8m + -1m = 0 Combine like terms: 8m + -1m = 7m 19 + 7m = 0 Solving 19 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 7m = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 7m = 0 + -19 7m = 0 + -19 Combine like terms: 0 + -19 = -19 7m = -19 Divide each side by '7'. m = -2.714285714 Simplifying m = -2.714285714
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