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Simplifying 5a + 2b + 3a + 6 + -1b = 0 Reorder the terms: 6 + 5a + 3a + 2b + -1b = 0 Combine like terms: 5a + 3a = 8a 6 + 8a + 2b + -1b = 0 Combine like terms: 2b + -1b = 1b 6 + 8a + 1b = 0 Solving 6 + 8a + 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 + 8a + -6 + 1b = 0 + -6 Reorder the terms: 6 + -6 + 8a + 1b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 8a + 1b = 0 + -6 8a + 1b = 0 + -6 Combine like terms: 0 + -6 = -6 8a + 1b = -6 Add '-1b' to each side of the equation. 8a + 1b + -1b = -6 + -1b Combine like terms: 1b + -1b = 0 8a + 0 = -6 + -1b 8a = -6 + -1b Divide each side by '8'. a = -0.75 + -0.125b Simplifying a = -0.75 + -0.125b
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