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Simplifying 4(a + b) = 2(a + b) (a * 4 + b * 4) = 2(a + b) (4a + 4b) = 2(a + b) 4a + 4b = (a * 2 + b * 2) 4a + 4b = (2a + 2b) Solving 4a + 4b = 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. 4a + -2a + 4b = 2a + -2a + 2b Combine like terms: 4a + -2a = 2a 2a + 4b = 2a + -2a + 2b Combine like terms: 2a + -2a = 0 2a + 4b = 0 + 2b 2a + 4b = 2b Add '-4b' to each side of the equation. 2a + 4b + -4b = 2b + -4b Combine like terms: 4b + -4b = 0 2a + 0 = 2b + -4b 2a = 2b + -4b Combine like terms: 2b + -4b = -2b 2a = -2b Divide each side by '2'. a = -1b Simplifying a = -1b
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