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Simplifying 7 + -1(a + -1b) + -4 + (3a + -2b) = 0 7 + (a * -1 + -1b * -1) + -4 + (3a + -2b) = 0 7 + (-1a + 1b) + -4 + (3a + -2b) = 0 Remove parenthesis around (3a + -2b) 7 + -1a + 1b + -4 + 3a + -2b = 0 Reorder the terms: 7 + -4 + -1a + 3a + 1b + -2b = 0 Combine like terms: 7 + -4 = 3 3 + -1a + 3a + 1b + -2b = 0 Combine like terms: -1a + 3a = 2a 3 + 2a + 1b + -2b = 0 Combine like terms: 1b + -2b = -1b 3 + 2a + -1b = 0 Solving 3 + 2a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2a + -3 + -1b = 0 + -3 Reorder the terms: 3 + -3 + 2a + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a + -1b = 0 + -3 2a + -1b = 0 + -3 Combine like terms: 0 + -3 = -3 2a + -1b = -3 Add 'b' to each side of the equation. 2a + -1b + b = -3 + b Combine like terms: -1b + b = 0 2a + 0 = -3 + b 2a = -3 + b Divide each side by '2'. a = -1.5 + 0.5b Simplifying a = -1.5 + 0.5b
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