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Simplifying 8 + -2(5m + 2n + 7p) = 0 8 + (5m * -2 + 2n * -2 + 7p * -2) = 0 8 + (-10m + -4n + -14p) = 0 Solving 8 + -10m + -4n + -14p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -10m + -4n + -8 + -14p = 0 + -8 Reorder the terms: 8 + -8 + -10m + -4n + -14p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -10m + -4n + -14p = 0 + -8 -10m + -4n + -14p = 0 + -8 Combine like terms: 0 + -8 = -8 -10m + -4n + -14p = -8 Add '4n' to each side of the equation. -10m + -4n + 4n + -14p = -8 + 4n Combine like terms: -4n + 4n = 0 -10m + 0 + -14p = -8 + 4n -10m + -14p = -8 + 4n Add '14p' to each side of the equation. -10m + -14p + 14p = -8 + 4n + 14p Combine like terms: -14p + 14p = 0 -10m + 0 = -8 + 4n + 14p -10m = -8 + 4n + 14p Divide each side by '-10'. m = 0.8 + -0.4n + -1.4p Simplifying m = 0.8 + -0.4n + -1.4p
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