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Simplifying (9a + 6b + -5) + (-11a + -7b + 6) = 0 Reorder the terms: (-5 + 9a + 6b) + (-11a + -7b + 6) = 0 Remove parenthesis around (-5 + 9a + 6b) -5 + 9a + 6b + (-11a + -7b + 6) = 0 Reorder the terms: -5 + 9a + 6b + (6 + -11a + -7b) = 0 Remove parenthesis around (6 + -11a + -7b) -5 + 9a + 6b + 6 + -11a + -7b = 0 Reorder the terms: -5 + 6 + 9a + -11a + 6b + -7b = 0 Combine like terms: -5 + 6 = 1 1 + 9a + -11a + 6b + -7b = 0 Combine like terms: 9a + -11a = -2a 1 + -2a + 6b + -7b = 0 Combine like terms: 6b + -7b = -1b 1 + -2a + -1b = 0 Solving 1 + -2a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2a + -1 + -1b = 0 + -1 Reorder the terms: 1 + -1 + -2a + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2a + -1b = 0 + -1 -2a + -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -2a + -1b = -1 Add 'b' to each side of the equation. -2a + -1b + b = -1 + b Combine like terms: -1b + b = 0 -2a + 0 = -1 + b -2a = -1 + b Divide each side by '-2'. a = 0.5 + -0.5b Simplifying a = 0.5 + -0.5b
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