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Simplifying 19 + 20m = 17m + 13 + -6 Reorder the terms: 19 + 20m = 13 + -6 + 17m Combine like terms: 13 + -6 = 7 19 + 20m = 7 + 17m Solving 19 + 20m = 7 + 17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17m' to each side of the equation. 19 + 20m + -17m = 7 + 17m + -17m Combine like terms: 20m + -17m = 3m 19 + 3m = 7 + 17m + -17m Combine like terms: 17m + -17m = 0 19 + 3m = 7 + 0 19 + 3m = 7 Add '-19' to each side of the equation. 19 + -19 + 3m = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 3m = 7 + -19 3m = 7 + -19 Combine like terms: 7 + -19 = -12 3m = -12 Divide each side by '3'. m = -4 Simplifying m = -4
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