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Simplifying 7m + 9 + -3m + 4 = 27 + 6 Reorder the terms: 9 + 4 + 7m + -3m = 27 + 6 Combine like terms: 9 + 4 = 13 13 + 7m + -3m = 27 + 6 Combine like terms: 7m + -3m = 4m 13 + 4m = 27 + 6 Combine like terms: 27 + 6 = 33 13 + 4m = 33 Solving 13 + 4m = 33 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4m = 33 + -13 Combine like terms: 13 + -13 = 0 0 + 4m = 33 + -13 4m = 33 + -13 Combine like terms: 33 + -13 = 20 4m = 20 Divide each side by '4'. m = 5 Simplifying m = 5
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