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Simplifying 5a + 5b + -2a + 2b + -2a + -6b = 0 Reorder the terms: 5a + -2a + -2a + 5b + 2b + -6b = 0 Combine like terms: 5a + -2a = 3a 3a + -2a + 5b + 2b + -6b = 0 Combine like terms: 3a + -2a = 1a 1a + 5b + 2b + -6b = 0 Combine like terms: 5b + 2b = 7b 1a + 7b + -6b = 0 Combine like terms: 7b + -6b = 1b 1a + 1b = 0 Solving 1a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 1a + 1b + -1b = 0 + -1b Combine like terms: 1b + -1b = 0 1a + 0 = 0 + -1b 1a = 0 + -1b Remove the zero: 1a = -1b Divide each side by '1'. a = -1b Simplifying a = -1b
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