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Simplifying 6m + 19 = 9m + -5 Reorder the terms: 19 + 6m = 9m + -5 Reorder the terms: 19 + 6m = -5 + 9m Solving 19 + 6m = -5 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 19 + 6m + -9m = -5 + 9m + -9m Combine like terms: 6m + -9m = -3m 19 + -3m = -5 + 9m + -9m Combine like terms: 9m + -9m = 0 19 + -3m = -5 + 0 19 + -3m = -5 Add '-19' to each side of the equation. 19 + -19 + -3m = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -3m = -5 + -19 -3m = -5 + -19 Combine like terms: -5 + -19 = -24 -3m = -24 Divide each side by '-3'. m = 8 Simplifying m = 8
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