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Simplifying 6a + -4b + (8a + -3b) = 0 Remove parenthesis around (8a + -3b) 6a + -4b + 8a + -3b = 0 Reorder the terms: 6a + 8a + -4b + -3b = 0 Combine like terms: 6a + 8a = 14a 14a + -4b + -3b = 0 Combine like terms: -4b + -3b = -7b 14a + -7b = 0 Solving 14a + -7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 14a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 14a + 0 = 0 + 7b 14a = 0 + 7b Remove the zero: 14a = 7b Divide each side by '14'. a = 0.5b Simplifying a = 0.5b
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