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Simplifying 7(m + -1n) + -3(p + 2m) = 37 (m * 7 + -1n * 7) + -3(p + 2m) = 37 (7m + -7n) + -3(p + 2m) = 37 Reorder the terms: 7m + -7n + -3(2m + p) = 37 7m + -7n + (2m * -3 + p * -3) = 37 7m + -7n + (-6m + -3p) = 37 Reorder the terms: 7m + -6m + -7n + -3p = 37 Combine like terms: 7m + -6m = 1m 1m + -7n + -3p = 37 Solving 1m + -7n + -3p = 37 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 1m + -7n + 7n + -3p = 37 + 7n Combine like terms: -7n + 7n = 0 1m + 0 + -3p = 37 + 7n 1m + -3p = 37 + 7n Add '3p' to each side of the equation. 1m + -3p + 3p = 37 + 7n + 3p Combine like terms: -3p + 3p = 0 1m + 0 = 37 + 7n + 3p 1m = 37 + 7n + 3p Divide each side by '1'. m = 37 + 7n + 3p Simplifying m = 37 + 7n + 3p
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