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Simplifying 3a + -2b + 8b + 3a + -2b + 8b = 0 Reorder the terms: 3a + 3a + -2b + 8b + -2b + 8b = 0 Combine like terms: 3a + 3a = 6a 6a + -2b + 8b + -2b + 8b = 0 Combine like terms: -2b + 8b = 6b 6a + 6b + -2b + 8b = 0 Combine like terms: 6b + -2b = 4b 6a + 4b + 8b = 0 Combine like terms: 4b + 8b = 12b 6a + 12b = 0 Solving 6a + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 6a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 6a + 0 = 0 + -12b 6a = 0 + -12b Remove the zero: 6a = -12b Divide each side by '6'. a = -2b Simplifying a = -2b
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