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Simplifying -4a = 14a + -12(4a + 10) Reorder the terms: -4a = 14a + -12(10 + 4a) -4a = 14a + (10 * -12 + 4a * -12) -4a = 14a + (-120 + -48a) Reorder the terms: -4a = -120 + 14a + -48a Combine like terms: 14a + -48a = -34a -4a = -120 + -34a Solving -4a = -120 + -34a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '34a' to each side of the equation. -4a + 34a = -120 + -34a + 34a Combine like terms: -4a + 34a = 30a 30a = -120 + -34a + 34a Combine like terms: -34a + 34a = 0 30a = -120 + 0 30a = -120 Divide each side by '30'. a = -4 Simplifying a = -4
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