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Simplifying 5a + -1b + 2 + -7b = 0 Reorder the terms: 2 + 5a + -1b + -7b = 0 Combine like terms: -1b + -7b = -8b 2 + 5a + -8b = 0 Solving 2 + 5a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5a + -2 + -8b = 0 + -2 Reorder the terms: 2 + -2 + 5a + -8b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5a + -8b = 0 + -2 5a + -8b = 0 + -2 Combine like terms: 0 + -2 = -2 5a + -8b = -2 Add '8b' to each side of the equation. 5a + -8b + 8b = -2 + 8b Combine like terms: -8b + 8b = 0 5a + 0 = -2 + 8b 5a = -2 + 8b Divide each side by '5'. a = -0.4 + 1.6b Simplifying a = -0.4 + 1.6b
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