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Simplifying -3m + 7 + -2n + 3 + -1m + 3n = 0 Reorder the terms: 7 + 3 + -3m + -1m + -2n + 3n = 0 Combine like terms: 7 + 3 = 10 10 + -3m + -1m + -2n + 3n = 0 Combine like terms: -3m + -1m = -4m 10 + -4m + -2n + 3n = 0 Combine like terms: -2n + 3n = 1n 10 + -4m + 1n = 0 Solving 10 + -4m + 1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -4m + -10 + 1n = 0 + -10 Reorder the terms: 10 + -10 + -4m + 1n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4m + 1n = 0 + -10 -4m + 1n = 0 + -10 Combine like terms: 0 + -10 = -10 -4m + 1n = -10 Add '-1n' to each side of the equation. -4m + 1n + -1n = -10 + -1n Combine like terms: 1n + -1n = 0 -4m + 0 = -10 + -1n -4m = -10 + -1n Divide each side by '-4'. m = 2.5 + 0.25n Simplifying m = 2.5 + 0.25n
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