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Simplifying (4a + -3b) + (2a + 6b) = 24 Remove parenthesis around (4a + -3b) 4a + -3b + (2a + 6b) = 24 Remove parenthesis around (2a + 6b) 4a + -3b + 2a + 6b = 24 Reorder the terms: 4a + 2a + -3b + 6b = 24 Combine like terms: 4a + 2a = 6a 6a + -3b + 6b = 24 Combine like terms: -3b + 6b = 3b 6a + 3b = 24 Solving 6a + 3b = 24 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 6a + 3b + -3b = 24 + -3b Combine like terms: 3b + -3b = 0 6a + 0 = 24 + -3b 6a = 24 + -3b Divide each side by '6'. a = 4 + -0.5b Simplifying a = 4 + -0.5b
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