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Simplifying 14a + -5(a + -1) = 2(a + -3) Reorder the terms: 14a + -5(-1 + a) = 2(a + -3) 14a + (-1 * -5 + a * -5) = 2(a + -3) 14a + (5 + -5a) = 2(a + -3) Reorder the terms: 5 + 14a + -5a = 2(a + -3) Combine like terms: 14a + -5a = 9a 5 + 9a = 2(a + -3) Reorder the terms: 5 + 9a = 2(-3 + a) 5 + 9a = (-3 * 2 + a * 2) 5 + 9a = (-6 + 2a) Solving 5 + 9a = -6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 5 + 9a + -2a = -6 + 2a + -2a Combine like terms: 9a + -2a = 7a 5 + 7a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + 7a = -6 + 0 5 + 7a = -6 Add '-5' to each side of the equation. 5 + -5 + 7a = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 7a = -6 + -5 7a = -6 + -5 Combine like terms: -6 + -5 = -11 7a = -11 Divide each side by '7'. a = -1.571428571 Simplifying a = -1.571428571
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