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Simplifying 7a + b = -5(a + -1b) 7a + b = (a * -5 + -1b * -5) 7a + b = (-5a + 5b) Solving 7a + b = -5a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 7a + 5a + b = -5a + 5a + 5b Combine like terms: 7a + 5a = 12a 12a + b = -5a + 5a + 5b Combine like terms: -5a + 5a = 0 12a + b = 0 + 5b 12a + b = 5b Add '-1b' to each side of the equation. 12a + b + -1b = 5b + -1b Combine like terms: b + -1b = 0 12a + 0 = 5b + -1b 12a = 5b + -1b Combine like terms: 5b + -1b = 4b 12a = 4b Divide each side by '12'. a = 0.3333333333b Simplifying a = 0.3333333333b
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