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Simplifying 8(3a + 4b + 11c + 2) = 0 Reorder the terms: 8(2 + 3a + 4b + 11c) = 0 (2 * 8 + 3a * 8 + 4b * 8 + 11c * 8) = 0 (16 + 24a + 32b + 88c) = 0 Solving 16 + 24a + 32b + 88c = 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 + 24a + 32b + -16 + 88c = 0 + -16 Reorder the terms: 16 + -16 + 24a + 32b + 88c = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 24a + 32b + 88c = 0 + -16 24a + 32b + 88c = 0 + -16 Combine like terms: 0 + -16 = -16 24a + 32b + 88c = -16 Add '-32b' to each side of the equation. 24a + 32b + -32b + 88c = -16 + -32b Combine like terms: 32b + -32b = 0 24a + 0 + 88c = -16 + -32b 24a + 88c = -16 + -32b Add '-88c' to each side of the equation. 24a + 88c + -88c = -16 + -32b + -88c Combine like terms: 88c + -88c = 0 24a + 0 = -16 + -32b + -88c 24a = -16 + -32b + -88c Divide each side by '24'. a = -0.6666666667 + -1.333333333b + -3.666666667c Simplifying a = -0.6666666667 + -1.333333333b + -3.666666667c
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