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Simplifying (-3n + 4m + 5p) + -1(m + -1n + p) = 0 Reorder the terms: (4m + -3n + 5p) + -1(m + -1n + p) = 0 Remove parenthesis around (4m + -3n + 5p) 4m + -3n + 5p + -1(m + -1n + p) = 0 4m + -3n + 5p + (m * -1 + -1n * -1 + p * -1) = 0 4m + -3n + 5p + (-1m + 1n + -1p) = 0 Reorder the terms: 4m + -1m + -3n + 1n + 5p + -1p = 0 Combine like terms: 4m + -1m = 3m 3m + -3n + 1n + 5p + -1p = 0 Combine like terms: -3n + 1n = -2n 3m + -2n + 5p + -1p = 0 Combine like terms: 5p + -1p = 4p 3m + -2n + 4p = 0 Solving 3m + -2n + 4p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. 3m + -2n + 2n + 4p = 0 + 2n Combine like terms: -2n + 2n = 0 3m + 0 + 4p = 0 + 2n 3m + 4p = 0 + 2n Remove the zero: 3m + 4p = 2n Add '-4p' to each side of the equation. 3m + 4p + -4p = 2n + -4p Combine like terms: 4p + -4p = 0 3m + 0 = 2n + -4p 3m = 2n + -4p Divide each side by '3'. m = 0.6666666667n + -1.333333333p Simplifying m = 0.6666666667n + -1.333333333p
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