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Simplifying 2(a + b) + -12 + 2b = 0 (a * 2 + b * 2) + -12 + 2b = 0 (2a + 2b) + -12 + 2b = 0 Reorder the terms: -12 + 2a + 2b + 2b = 0 Combine like terms: 2b + 2b = 4b -12 + 2a + 4b = 0 Solving -12 + 2a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2a + 12 + 4b = 0 + 12 Reorder the terms: -12 + 12 + 2a + 4b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2a + 4b = 0 + 12 2a + 4b = 0 + 12 Combine like terms: 0 + 12 = 12 2a + 4b = 12 Add '-4b' to each side of the equation. 2a + 4b + -4b = 12 + -4b Combine like terms: 4b + -4b = 0 2a + 0 = 12 + -4b 2a = 12 + -4b Divide each side by '2'. a = 6 + -2b Simplifying a = 6 + -2b
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