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Simplifying 7 = 2(a + b) 7 = (a * 2 + b * 2) 7 = (2a + 2b) Solving 7 = 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. 7 + -2a = 2a + -2a + 2b Combine like terms: 2a + -2a = 0 7 + -2a = 0 + 2b 7 + -2a = 2b Add '-7' to each side of the equation. 7 + -7 + -2a = -7 + 2b Combine like terms: 7 + -7 = 0 0 + -2a = -7 + 2b -2a = -7 + 2b Divide each side by '-2'. a = 3.5 + -1b Simplifying a = 3.5 + -1b
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