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Simplifying 7(1 + 7m) + -3(m + -4) = -27 (1 * 7 + 7m * 7) + -3(m + -4) = -27 (7 + 49m) + -3(m + -4) = -27 Reorder the terms: 7 + 49m + -3(-4 + m) = -27 7 + 49m + (-4 * -3 + m * -3) = -27 7 + 49m + (12 + -3m) = -27 Reorder the terms: 7 + 12 + 49m + -3m = -27 Combine like terms: 7 + 12 = 19 19 + 49m + -3m = -27 Combine like terms: 49m + -3m = 46m 19 + 46m = -27 Solving 19 + 46m = -27 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 + 46m = -27 + -19 Combine like terms: 19 + -19 = 0 0 + 46m = -27 + -19 46m = -27 + -19 Combine like terms: -27 + -19 = -46 46m = -46 Divide each side by '46'. m = -1 Simplifying m = -1
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