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Simplifying 17 + -6m + 5n + 1 + -7m + 19n = 0 Reorder the terms: 17 + 1 + -6m + -7m + 5n + 19n = 0 Combine like terms: 17 + 1 = 18 18 + -6m + -7m + 5n + 19n = 0 Combine like terms: -6m + -7m = -13m 18 + -13m + 5n + 19n = 0 Combine like terms: 5n + 19n = 24n 18 + -13m + 24n = 0 Solving 18 + -13m + 24n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -13m + -18 + 24n = 0 + -18 Reorder the terms: 18 + -18 + -13m + 24n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -13m + 24n = 0 + -18 -13m + 24n = 0 + -18 Combine like terms: 0 + -18 = -18 -13m + 24n = -18 Add '-24n' to each side of the equation. -13m + 24n + -24n = -18 + -24n Combine like terms: 24n + -24n = 0 -13m + 0 = -18 + -24n -13m = -18 + -24n Divide each side by '-13'. m = 1.384615385 + 1.846153846n Simplifying m = 1.384615385 + 1.846153846n
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