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Simplifying 2(a + b) + (a + b) + 5a = 0 (a * 2 + b * 2) + (a + b) + 5a = 0 (2a + 2b) + (a + b) + 5a = 0 Remove parenthesis around (a + b) 2a + 2b + a + b + 5a = 0 Reorder the terms: 2a + a + 5a + 2b + b = 0 Combine like terms: 2a + a = 3a 3a + 5a + 2b + b = 0 Combine like terms: 3a + 5a = 8a 8a + 2b + b = 0 Combine like terms: 2b + b = 3b 8a + 3b = 0 Solving 8a + 3b = 0 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. 8a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 8a + 0 = 0 + -3b 8a = 0 + -3b Remove the zero: 8a = -3b Divide each side by '8'. a = -0.375b Simplifying a = -0.375b
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