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Simplifying (5a + 14b + -9c + -8)(6) = 0 Reorder the terms: (-8 + 5a + 14b + -9c)(6) = 0 Reorder the terms for easier multiplication: 6(-8 + 5a + 14b + -9c) = 0 (-8 * 6 + 5a * 6 + 14b * 6 + -9c * 6) = 0 (-48 + 30a + 84b + -54c) = 0 Solving -48 + 30a + 84b + -54c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 30a + 84b + 48 + -54c = 0 + 48 Reorder the terms: -48 + 48 + 30a + 84b + -54c = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 30a + 84b + -54c = 0 + 48 30a + 84b + -54c = 0 + 48 Combine like terms: 0 + 48 = 48 30a + 84b + -54c = 48 Add '-84b' to each side of the equation. 30a + 84b + -84b + -54c = 48 + -84b Combine like terms: 84b + -84b = 0 30a + 0 + -54c = 48 + -84b 30a + -54c = 48 + -84b Add '54c' to each side of the equation. 30a + -54c + 54c = 48 + -84b + 54c Combine like terms: -54c + 54c = 0 30a + 0 = 48 + -84b + 54c 30a = 48 + -84b + 54c Divide each side by '30'. a = 1.6 + -2.8b + 1.8c Simplifying a = 1.6 + -2.8b + 1.8c
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