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Simplifying 4(a + 2b) + (a + -3b) = 0 (a * 4 + 2b * 4) + (a + -3b) = 0 (4a + 8b) + (a + -3b) = 0 Remove parenthesis around (a + -3b) 4a + 8b + a + -3b = 0 Reorder the terms: 4a + a + 8b + -3b = 0 Combine like terms: 4a + a = 5a 5a + 8b + -3b = 0 Combine like terms: 8b + -3b = 5b 5a + 5b = 0 Solving 5a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 5a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 5a + 0 = 0 + -5b 5a = 0 + -5b Remove the zero: 5a = -5b Divide each side by '5'. a = -1b Simplifying a = -1b
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