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Simplifying 46 = 2(a + b) 46 = (a * 2 + b * 2) 46 = (2a + 2b) Solving 46 = 2a + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 46 + -2a = 2a + -2a + 2b Combine like terms: 2a + -2a = 0 46 + -2a = 0 + 2b 46 + -2a = 2b Add '-46' to each side of the equation. 46 + -46 + -2a = -46 + 2b Combine like terms: 46 + -46 = 0 0 + -2a = -46 + 2b -2a = -46 + 2b Divide each side by '-2'. a = 23 + -1b Simplifying a = 23 + -1b
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