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Simplifying 8(3a + -4b + 5c + 9) = 0 Reorder the terms: 8(9 + 3a + -4b + 5c) = 0 (9 * 8 + 3a * 8 + -4b * 8 + 5c * 8) = 0 (72 + 24a + -32b + 40c) = 0 Solving 72 + 24a + -32b + 40c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 24a + -32b + -72 + 40c = 0 + -72 Reorder the terms: 72 + -72 + 24a + -32b + 40c = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 24a + -32b + 40c = 0 + -72 24a + -32b + 40c = 0 + -72 Combine like terms: 0 + -72 = -72 24a + -32b + 40c = -72 Add '32b' to each side of the equation. 24a + -32b + 32b + 40c = -72 + 32b Combine like terms: -32b + 32b = 0 24a + 0 + 40c = -72 + 32b 24a + 40c = -72 + 32b Add '-40c' to each side of the equation. 24a + 40c + -40c = -72 + 32b + -40c Combine like terms: 40c + -40c = 0 24a + 0 = -72 + 32b + -40c 24a = -72 + 32b + -40c Divide each side by '24'. a = -3 + 1.333333333b + -1.666666667c Simplifying a = -3 + 1.333333333b + -1.666666667c
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