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Simplifying 5(12 + 3m) + m + 4 + 8 + m + 27 = 133 (12 * 5 + 3m * 5) + m + 4 + 8 + m + 27 = 133 (60 + 15m) + m + 4 + 8 + m + 27 = 133 Reorder the terms: 60 + 4 + 8 + 27 + 15m + m + m = 133 Combine like terms: 60 + 4 = 64 64 + 8 + 27 + 15m + m + m = 133 Combine like terms: 64 + 8 = 72 72 + 27 + 15m + m + m = 133 Combine like terms: 72 + 27 = 99 99 + 15m + m + m = 133 Combine like terms: 15m + m = 16m 99 + 16m + m = 133 Combine like terms: 16m + m = 17m 99 + 17m = 133 Solving 99 + 17m = 133 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + 17m = 133 + -99 Combine like terms: 99 + -99 = 0 0 + 17m = 133 + -99 17m = 133 + -99 Combine like terms: 133 + -99 = 34 17m = 34 Divide each side by '17'. m = 2 Simplifying m = 2
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