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Simplifying (4a + -2b + 4) + (5a + 1b + 2) = 0 Reorder the terms: (4 + 4a + -2b) + (5a + 1b + 2) = 0 Remove parenthesis around (4 + 4a + -2b) 4 + 4a + -2b + (5a + 1b + 2) = 0 Reorder the terms: 4 + 4a + -2b + (2 + 5a + 1b) = 0 Remove parenthesis around (2 + 5a + 1b) 4 + 4a + -2b + 2 + 5a + 1b = 0 Reorder the terms: 4 + 2 + 4a + 5a + -2b + 1b = 0 Combine like terms: 4 + 2 = 6 6 + 4a + 5a + -2b + 1b = 0 Combine like terms: 4a + 5a = 9a 6 + 9a + -2b + 1b = 0 Combine like terms: -2b + 1b = -1b 6 + 9a + -1b = 0 Solving 6 + 9a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 9a + -6 + -1b = 0 + -6 Reorder the terms: 6 + -6 + 9a + -1b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9a + -1b = 0 + -6 9a + -1b = 0 + -6 Combine like terms: 0 + -6 = -6 9a + -1b = -6 Add 'b' to each side of the equation. 9a + -1b + b = -6 + b Combine like terms: -1b + b = 0 9a + 0 = -6 + b 9a = -6 + b Divide each side by '9'. a = -0.6666666667 + 0.1111111111b Simplifying a = -0.6666666667 + 0.1111111111b
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