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Simplifying 5 + 3m + -3 = 7m + 11 + -3m Reorder the terms: 5 + -3 + 3m = 7m + 11 + -3m Combine like terms: 5 + -3 = 2 2 + 3m = 7m + 11 + -3m Reorder the terms: 2 + 3m = 11 + 7m + -3m Combine like terms: 7m + -3m = 4m 2 + 3m = 11 + 4m Solving 2 + 3m = 11 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 2 + 3m + -4m = 11 + 4m + -4m Combine like terms: 3m + -4m = -1m 2 + -1m = 11 + 4m + -4m Combine like terms: 4m + -4m = 0 2 + -1m = 11 + 0 2 + -1m = 11 Add '-2' to each side of the equation. 2 + -2 + -1m = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 11 + -2 -1m = 11 + -2 Combine like terms: 11 + -2 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9
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