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Simplifying (3m + 5n + -4p) + (7m + -3n + -2p) = 0 Remove parenthesis around (3m + 5n + -4p) 3m + 5n + -4p + (7m + -3n + -2p) = 0 Remove parenthesis around (7m + -3n + -2p) 3m + 5n + -4p + 7m + -3n + -2p = 0 Reorder the terms: 3m + 7m + 5n + -3n + -4p + -2p = 0 Combine like terms: 3m + 7m = 10m 10m + 5n + -3n + -4p + -2p = 0 Combine like terms: 5n + -3n = 2n 10m + 2n + -4p + -2p = 0 Combine like terms: -4p + -2p = -6p 10m + 2n + -6p = 0 Solving 10m + 2n + -6p = 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. 10m + 2n + -2n + -6p = 0 + -2n Combine like terms: 2n + -2n = 0 10m + 0 + -6p = 0 + -2n 10m + -6p = 0 + -2n Remove the zero: 10m + -6p = -2n Add '6p' to each side of the equation. 10m + -6p + 6p = -2n + 6p Combine like terms: -6p + 6p = 0 10m + 0 = -2n + 6p 10m = -2n + 6p Divide each side by '10'. m = -0.2n + 0.6p Simplifying m = -0.2n + 0.6p
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