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Simplifying 3a + 4a + -1(-6a + -3b) = -3a + b 3a + 4a + (-6a * -1 + -3b * -1) = -3a + b 3a + 4a + (6a + 3b) = -3a + b Combine like terms: 3a + 4a = 7a 7a + 6a + 3b = -3a + b Combine like terms: 7a + 6a = 13a 13a + 3b = -3a + b Solving 13a + 3b = -3a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 13a + 3a + 3b = -3a + 3a + b Combine like terms: 13a + 3a = 16a 16a + 3b = -3a + 3a + b Combine like terms: -3a + 3a = 0 16a + 3b = 0 + b 16a + 3b = b Add '-3b' to each side of the equation. 16a + 3b + -3b = b + -3b Combine like terms: 3b + -3b = 0 16a + 0 = b + -3b 16a = b + -3b Combine like terms: b + -3b = -2b 16a = -2b Divide each side by '16'. a = -0.125b Simplifying a = -0.125b
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