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Simplifying 7(m + 3) = 45 + -3(12 + -1m) Reorder the terms: 7(3 + m) = 45 + -3(12 + -1m) (3 * 7 + m * 7) = 45 + -3(12 + -1m) (21 + 7m) = 45 + -3(12 + -1m) 21 + 7m = 45 + (12 * -3 + -1m * -3) 21 + 7m = 45 + (-36 + 3m) Combine like terms: 45 + -36 = 9 21 + 7m = 9 + 3m Solving 21 + 7m = 9 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 21 + 7m + -3m = 9 + 3m + -3m Combine like terms: 7m + -3m = 4m 21 + 4m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 21 + 4m = 9 + 0 21 + 4m = 9 Add '-21' to each side of the equation. 21 + -21 + 4m = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 4m = 9 + -21 4m = 9 + -21 Combine like terms: 9 + -21 = -12 4m = -12 Divide each side by '4'. m = -3 Simplifying m = -3
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