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Simplifying 5(a + 4) + -6(4c2 + 6 + -9a) = 0 Reorder the terms: 5(4 + a) + -6(4c2 + 6 + -9a) = 0 (4 * 5 + a * 5) + -6(4c2 + 6 + -9a) = 0 (20 + 5a) + -6(4c2 + 6 + -9a) = 0 Reorder the terms: 20 + 5a + -6(6 + -9a + 4c2) = 0 20 + 5a + (6 * -6 + -9a * -6 + 4c2 * -6) = 0 20 + 5a + (-36 + 54a + -24c2) = 0 Reorder the terms: 20 + -36 + 5a + 54a + -24c2 = 0 Combine like terms: 20 + -36 = -16 -16 + 5a + 54a + -24c2 = 0 Combine like terms: 5a + 54a = 59a -16 + 59a + -24c2 = 0 Solving -16 + 59a + -24c2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 59a + 16 + -24c2 = 0 + 16 Reorder the terms: -16 + 16 + 59a + -24c2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 59a + -24c2 = 0 + 16 59a + -24c2 = 0 + 16 Combine like terms: 0 + 16 = 16 59a + -24c2 = 16 Add '24c2' to each side of the equation. 59a + -24c2 + 24c2 = 16 + 24c2 Combine like terms: -24c2 + 24c2 = 0 59a + 0 = 16 + 24c2 59a = 16 + 24c2 Divide each side by '59'. a = 0.2711864407 + 0.406779661c2 Simplifying a = 0.2711864407 + 0.406779661c2
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