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Simplifying 6 + 2m + -5 = 6m + 19 + -2m Reorder the terms: 6 + -5 + 2m = 6m + 19 + -2m Combine like terms: 6 + -5 = 1 1 + 2m = 6m + 19 + -2m Reorder the terms: 1 + 2m = 19 + 6m + -2m Combine like terms: 6m + -2m = 4m 1 + 2m = 19 + 4m Solving 1 + 2m = 19 + 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. 1 + 2m + -4m = 19 + 4m + -4m Combine like terms: 2m + -4m = -2m 1 + -2m = 19 + 4m + -4m Combine like terms: 4m + -4m = 0 1 + -2m = 19 + 0 1 + -2m = 19 Add '-1' to each side of the equation. 1 + -1 + -2m = 19 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 19 + -1 -2m = 19 + -1 Combine like terms: 19 + -1 = 18 -2m = 18 Divide each side by '-2'. m = -9 Simplifying m = -9
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