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Simplifying 5m + -3[7 + -1(1 + -2m)] = 2 5m + -3[7 + (1 * -1 + -2m * -1)] = 2 5m + -3[7 + (-1 + 2m)] = 2 Combine like terms: 7 + -1 = 6 5m + -3[6 + 2m] = 2 5m + [6 * -3 + 2m * -3] = 2 5m + [-18 + -6m] = 2 Reorder the terms: -18 + 5m + -6m = 2 Combine like terms: 5m + -6m = -1m -18 + -1m = 2 Solving -18 + -1m = 2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1m = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -1m = 2 + 18 -1m = 2 + 18 Combine like terms: 2 + 18 = 20 -1m = 20 Divide each side by '-1'. m = -20 Simplifying m = -20
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