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Simplifying 3m + -11 = 5m + 19 Reorder the terms: -11 + 3m = 5m + 19 Reorder the terms: -11 + 3m = 19 + 5m Solving -11 + 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. -11 + 3m + -5m = 19 + 5m + -5m Combine like terms: 3m + -5m = -2m -11 + -2m = 19 + 5m + -5m Combine like terms: 5m + -5m = 0 -11 + -2m = 19 + 0 -11 + -2m = 19 Add '11' to each side of the equation. -11 + 11 + -2m = 19 + 11 Combine like terms: -11 + 11 = 0 0 + -2m = 19 + 11 -2m = 19 + 11 Combine like terms: 19 + 11 = 30 -2m = 30 Divide each side by '-2'. m = -15 Simplifying m = -15
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