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Simplifying (6m + 4n + -5p) + -1(11m + -3n + -1p) = 0 Remove parenthesis around (6m + 4n + -5p) 6m + 4n + -5p + -1(11m + -3n + -1p) = 0 6m + 4n + -5p + (11m * -1 + -3n * -1 + -1p * -1) = 0 6m + 4n + -5p + (-11m + 3n + 1p) = 0 Reorder the terms: 6m + -11m + 4n + 3n + -5p + 1p = 0 Combine like terms: 6m + -11m = -5m -5m + 4n + 3n + -5p + 1p = 0 Combine like terms: 4n + 3n = 7n -5m + 7n + -5p + 1p = 0 Combine like terms: -5p + 1p = -4p -5m + 7n + -4p = 0 Solving -5m + 7n + -4p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. -5m + 7n + -7n + -4p = 0 + -7n Combine like terms: 7n + -7n = 0 -5m + 0 + -4p = 0 + -7n -5m + -4p = 0 + -7n Remove the zero: -5m + -4p = -7n Add '4p' to each side of the equation. -5m + -4p + 4p = -7n + 4p Combine like terms: -4p + 4p = 0 -5m + 0 = -7n + 4p -5m = -7n + 4p Divide each side by '-5'. m = 1.4n + -0.8p Simplifying m = 1.4n + -0.8p
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