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Simplifying 5[a + -1b] + 2a + -1b = 0 [a * 5 + -1b * 5] + 2a + -1b = 0 [5a + -5b] + 2a + -1b = 0 Reorder the terms: 5a + 2a + -5b + -1b = 0 Combine like terms: 5a + 2a = 7a 7a + -5b + -1b = 0 Combine like terms: -5b + -1b = -6b 7a + -6b = 0 Solving 7a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 7a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 7a + 0 = 0 + 6b 7a = 0 + 6b Remove the zero: 7a = 6b Divide each side by '7'. a = 0.8571428571b Simplifying a = 0.8571428571b
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