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Simplifying 6 + 3m + -3 = 7m + 19 + -2m Reorder the terms: 6 + -3 + 3m = 7m + 19 + -2m Combine like terms: 6 + -3 = 3 3 + 3m = 7m + 19 + -2m Reorder the terms: 3 + 3m = 19 + 7m + -2m Combine like terms: 7m + -2m = 5m 3 + 3m = 19 + 5m Solving 3 + 3m = 19 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 3 + 3m + -5m = 19 + 5m + -5m Combine like terms: 3m + -5m = -2m 3 + -2m = 19 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + -2m = 19 + 0 3 + -2m = 19 Add '-3' to each side of the equation. 3 + -3 + -2m = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 19 + -3 -2m = 19 + -3 Combine like terms: 19 + -3 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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