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Simplifying (8a + -1b) + (2a + 6b) = 180 Remove parenthesis around (8a + -1b) 8a + -1b + (2a + 6b) = 180 Remove parenthesis around (2a + 6b) 8a + -1b + 2a + 6b = 180 Reorder the terms: 8a + 2a + -1b + 6b = 180 Combine like terms: 8a + 2a = 10a 10a + -1b + 6b = 180 Combine like terms: -1b + 6b = 5b 10a + 5b = 180 Solving 10a + 5b = 180 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. 10a + 5b + -5b = 180 + -5b Combine like terms: 5b + -5b = 0 10a + 0 = 180 + -5b 10a = 180 + -5b Divide each side by '10'. a = 18 + -0.5b Simplifying a = 18 + -0.5b
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