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Simplifying (m + 6n + 14p) + -1(6m + -3n + 11p) = 0 Remove parenthesis around (m + 6n + 14p) m + 6n + 14p + -1(6m + -3n + 11p) = 0 m + 6n + 14p + (6m * -1 + -3n * -1 + 11p * -1) = 0 m + 6n + 14p + (-6m + 3n + -11p) = 0 Reorder the terms: m + -6m + 6n + 3n + 14p + -11p = 0 Combine like terms: m + -6m = -5m -5m + 6n + 3n + 14p + -11p = 0 Combine like terms: 6n + 3n = 9n -5m + 9n + 14p + -11p = 0 Combine like terms: 14p + -11p = 3p -5m + 9n + 3p = 0 Solving -5m + 9n + 3p = 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. -5m + 9n + -9n + 3p = 0 + -9n Combine like terms: 9n + -9n = 0 -5m + 0 + 3p = 0 + -9n -5m + 3p = 0 + -9n Remove the zero: -5m + 3p = -9n Add '-3p' to each side of the equation. -5m + 3p + -3p = -9n + -3p Combine like terms: 3p + -3p = 0 -5m + 0 = -9n + -3p -5m = -9n + -3p Divide each side by '-5'. m = 1.8n + 0.6p Simplifying m = 1.8n + 0.6p
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