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Simplifying 12 + -1(b + a) + -5 + (2a + -1b) = 0 Reorder the terms: 12 + -1(a + b) + -5 + (2a + -1b) = 0 12 + (a * -1 + b * -1) + -5 + (2a + -1b) = 0 12 + (-1a + -1b) + -5 + (2a + -1b) = 0 Remove parenthesis around (2a + -1b) 12 + -1a + -1b + -5 + 2a + -1b = 0 Reorder the terms: 12 + -5 + -1a + 2a + -1b + -1b = 0 Combine like terms: 12 + -5 = 7 7 + -1a + 2a + -1b + -1b = 0 Combine like terms: -1a + 2a = 1a 7 + 1a + -1b + -1b = 0 Combine like terms: -1b + -1b = -2b 7 + 1a + -2b = 0 Solving 7 + 1a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 1a + -7 + -2b = 0 + -7 Reorder the terms: 7 + -7 + 1a + -2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1a + -2b = 0 + -7 1a + -2b = 0 + -7 Combine like terms: 0 + -7 = -7 1a + -2b = -7 Add '2b' to each side of the equation. 1a + -2b + 2b = -7 + 2b Combine like terms: -2b + 2b = 0 1a + 0 = -7 + 2b 1a = -7 + 2b Divide each side by '1'. a = -7 + 2b Simplifying a = -7 + 2b
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