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Simplifying 8(5a + -4n + 3p) + -4(6p + -8p + 11p) = 0 (5a * 8 + -4n * 8 + 3p * 8) + -4(6p + -8p + 11p) = 0 (40a + -32n + 24p) + -4(6p + -8p + 11p) = 0 Combine like terms: 6p + -8p = -2p 40a + -32n + 24p + -4(-2p + 11p) = 0 Combine like terms: -2p + 11p = 9p 40a + -32n + 24p + -4(9p) = 0 Remove parenthesis around (9p) 40a + -32n + 24p + -4 * 9p = 0 Multiply -4 * 9 40a + -32n + 24p + -36p = 0 Combine like terms: 24p + -36p = -12p 40a + -32n + -12p = 0 Solving 40a + -32n + -12p = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32n' to each side of the equation. 40a + -32n + 32n + -12p = 0 + 32n Combine like terms: -32n + 32n = 0 40a + 0 + -12p = 0 + 32n 40a + -12p = 0 + 32n Remove the zero: 40a + -12p = 32n Add '12p' to each side of the equation. 40a + -12p + 12p = 32n + 12p Combine like terms: -12p + 12p = 0 40a + 0 = 32n + 12p 40a = 32n + 12p Divide each side by '40'. a = 0.8n + 0.3p Simplifying a = 0.8n + 0.3p
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