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Simplifying 19p + 14q + p + -3m + 9n = 0 Reorder the terms: -3m + 9n + 19p + p + 14q = 0 Combine like terms: 19p + p = 20p -3m + 9n + 20p + 14q = 0 Solving -3m + 9n + 20p + 14q = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9n' to each side of the equation. -3m + 9n + 20p + -9n + 14q = 0 + -9n Reorder the terms: -3m + 9n + -9n + 20p + 14q = 0 + -9n Combine like terms: 9n + -9n = 0 -3m + 0 + 20p + 14q = 0 + -9n -3m + 20p + 14q = 0 + -9n Remove the zero: -3m + 20p + 14q = -9n Add '-20p' to each side of the equation. -3m + 20p + -20p + 14q = -9n + -20p Combine like terms: 20p + -20p = 0 -3m + 0 + 14q = -9n + -20p -3m + 14q = -9n + -20p Add '-14q' to each side of the equation. -3m + 14q + -14q = -9n + -20p + -14q Combine like terms: 14q + -14q = 0 -3m + 0 = -9n + -20p + -14q -3m = -9n + -20p + -14q Divide each side by '-3'. m = 3n + 6.666666667p + 4.666666667q Simplifying m = 3n + 6.666666667p + 4.666666667q
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