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Simplifying 5 + 3m + -4 = 7m + 11 + -2 Reorder the terms: 5 + -4 + 3m = 7m + 11 + -2 Combine like terms: 5 + -4 = 1 1 + 3m = 7m + 11 + -2 Reorder the terms: 1 + 3m = 11 + -2 + 7m Combine like terms: 11 + -2 = 9 1 + 3m = 9 + 7m Solving 1 + 3m = 9 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 1 + 3m + -7m = 9 + 7m + -7m Combine like terms: 3m + -7m = -4m 1 + -4m = 9 + 7m + -7m Combine like terms: 7m + -7m = 0 1 + -4m = 9 + 0 1 + -4m = 9 Add '-1' to each side of the equation. 1 + -1 + -4m = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = 9 + -1 -4m = 9 + -1 Combine like terms: 9 + -1 = 8 -4m = 8 Divide each side by '-4'. m = -2 Simplifying m = -2
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