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Simplifying 5a + -6b + 1 + -2b = 0 Reorder the terms: 1 + 5a + -6b + -2b = 0 Combine like terms: -6b + -2b = -8b 1 + 5a + -8b = 0 Solving 1 + 5a + -8b = 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 + 5a + -1 + -8b = 0 + -1 Reorder the terms: 1 + -1 + 5a + -8b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5a + -8b = 0 + -1 5a + -8b = 0 + -1 Combine like terms: 0 + -1 = -1 5a + -8b = -1 Add '8b' to each side of the equation. 5a + -8b + 8b = -1 + 8b Combine like terms: -8b + 8b = 0 5a + 0 = -1 + 8b 5a = -1 + 8b Divide each side by '5'. a = -0.2 + 1.6b Simplifying a = -0.2 + 1.6b
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