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Simplifying 2(1 + -7m) = -9n + 47 (1 * 2 + -7m * 2) = -9n + 47 (2 + -14m) = -9n + 47 Reorder the terms: 2 + -14m = 47 + -9n Solving 2 + -14m = 47 + -9n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -14m = 47 + -2 + -9n Combine like terms: 2 + -2 = 0 0 + -14m = 47 + -2 + -9n -14m = 47 + -2 + -9n Combine like terms: 47 + -2 = 45 -14m = 45 + -9n Divide each side by '-14'. m = -3.214285714 + 0.6428571429n Simplifying m = -3.214285714 + 0.6428571429n
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