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Simplifying 5(3 + -2m) + 7(m + -2) = 0 (3 * 5 + -2m * 5) + 7(m + -2) = 0 (15 + -10m) + 7(m + -2) = 0 Reorder the terms: 15 + -10m + 7(-2 + m) = 0 15 + -10m + (-2 * 7 + m * 7) = 0 15 + -10m + (-14 + 7m) = 0 Reorder the terms: 15 + -14 + -10m + 7m = 0 Combine like terms: 15 + -14 = 1 1 + -10m + 7m = 0 Combine like terms: -10m + 7m = -3m 1 + -3m = 0 Solving 1 + -3m = 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 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333
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