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Simplifying 3a + 5b + 8c + 1 + b = 0 Reorder the terms: 1 + 3a + 5b + b + 8c = 0 Combine like terms: 5b + b = 6b 1 + 3a + 6b + 8c = 0 Solving 1 + 3a + 6b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3a + 6b + -1 + 8c = 0 + -1 Reorder the terms: 1 + -1 + 3a + 6b + 8c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a + 6b + 8c = 0 + -1 3a + 6b + 8c = 0 + -1 Combine like terms: 0 + -1 = -1 3a + 6b + 8c = -1 Add '-6b' to each side of the equation. 3a + 6b + -6b + 8c = -1 + -6b Combine like terms: 6b + -6b = 0 3a + 0 + 8c = -1 + -6b 3a + 8c = -1 + -6b Add '-8c' to each side of the equation. 3a + 8c + -8c = -1 + -6b + -8c Combine like terms: 8c + -8c = 0 3a + 0 = -1 + -6b + -8c 3a = -1 + -6b + -8c Divide each side by '3'. a = -0.3333333333 + -2b + -2.666666667c Simplifying a = -0.3333333333 + -2b + -2.666666667c
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