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Simplifying 2a + b + -4a + 7 + -5a + 8b = 0 Reorder the terms: 7 + 2a + -4a + -5a + b + 8b = 0 Combine like terms: 2a + -4a = -2a 7 + -2a + -5a + b + 8b = 0 Combine like terms: -2a + -5a = -7a 7 + -7a + b + 8b = 0 Combine like terms: b + 8b = 9b 7 + -7a + 9b = 0 Solving 7 + -7a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7a + -7 + 9b = 0 + -7 Reorder the terms: 7 + -7 + -7a + 9b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7a + 9b = 0 + -7 -7a + 9b = 0 + -7 Combine like terms: 0 + -7 = -7 -7a + 9b = -7 Add '-9b' to each side of the equation. -7a + 9b + -9b = -7 + -9b Combine like terms: 9b + -9b = 0 -7a + 0 = -7 + -9b -7a = -7 + -9b Divide each side by '-7'. a = 1 + 1.285714286b Simplifying a = 1 + 1.285714286b
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