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Simplifying (2a + b) + (4b + 5) = 0 Remove parenthesis around (2a + b) 2a + b + (4b + 5) = 0 Reorder the terms: 2a + b + (5 + 4b) = 0 Remove parenthesis around (5 + 4b) 2a + b + 5 + 4b = 0 Reorder the terms: 5 + 2a + b + 4b = 0 Combine like terms: b + 4b = 5b 5 + 2a + 5b = 0 Solving 5 + 2a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2a + -5 + 5b = 0 + -5 Reorder the terms: 5 + -5 + 2a + 5b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a + 5b = 0 + -5 2a + 5b = 0 + -5 Combine like terms: 0 + -5 = -5 2a + 5b = -5 Add '-5b' to each side of the equation. 2a + 5b + -5b = -5 + -5b Combine like terms: 5b + -5b = 0 2a + 0 = -5 + -5b 2a = -5 + -5b Divide each side by '2'. a = -2.5 + -2.5b Simplifying a = -2.5 + -2.5b
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