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Simplifying 3(a + -1b) = a (a * 3 + -1b * 3) = a (3a + -3b) = a Solving 3a + -3b = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 3a + -1a + -3b = a + -1a Combine like terms: 3a + -1a = 2a 2a + -3b = a + -1a Combine like terms: a + -1a = 0 2a + -3b = 0 Add '3b' to each side of the equation. 2a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 2a + 0 = 0 + 3b 2a = 0 + 3b Remove the zero: 2a = 3b Divide each side by '2'. a = 1.5b Simplifying a = 1.5b
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