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Simplifying 3a + 5b + 2c + 8b = 0 Reorder the terms: 3a + 5b + 8b + 2c = 0 Combine like terms: 5b + 8b = 13b 3a + 13b + 2c = 0 Solving 3a + 13b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. 3a + 13b + -13b + 2c = 0 + -13b Combine like terms: 13b + -13b = 0 3a + 0 + 2c = 0 + -13b 3a + 2c = 0 + -13b Remove the zero: 3a + 2c = -13b Add '-2c' to each side of the equation. 3a + 2c + -2c = -13b + -2c Combine like terms: 2c + -2c = 0 3a + 0 = -13b + -2c 3a = -13b + -2c Divide each side by '3'. a = -4.333333333b + -0.6666666667c Simplifying a = -4.333333333b + -0.6666666667c
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