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Simplifying (3a + 2b + 4) + (a + -1b + 1) = 0 Reorder the terms: (4 + 3a + 2b) + (a + -1b + 1) = 0 Remove parenthesis around (4 + 3a + 2b) 4 + 3a + 2b + (a + -1b + 1) = 0 Reorder the terms: 4 + 3a + 2b + (1 + a + -1b) = 0 Remove parenthesis around (1 + a + -1b) 4 + 3a + 2b + 1 + a + -1b = 0 Reorder the terms: 4 + 1 + 3a + a + 2b + -1b = 0 Combine like terms: 4 + 1 = 5 5 + 3a + a + 2b + -1b = 0 Combine like terms: 3a + a = 4a 5 + 4a + 2b + -1b = 0 Combine like terms: 2b + -1b = 1b 5 + 4a + 1b = 0 Solving 5 + 4a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4a + -5 + 1b = 0 + -5 Reorder the terms: 5 + -5 + 4a + 1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4a + 1b = 0 + -5 4a + 1b = 0 + -5 Combine like terms: 0 + -5 = -5 4a + 1b = -5 Add '-1b' to each side of the equation. 4a + 1b + -1b = -5 + -1b Combine like terms: 1b + -1b = 0 4a + 0 = -5 + -1b 4a = -5 + -1b Divide each side by '4'. a = -1.25 + -0.25b Simplifying a = -1.25 + -0.25b
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