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Simplifying 14a + 6 + 4a = 10a + -8 + 6a Reorder the terms: 6 + 14a + 4a = 10a + -8 + 6a Combine like terms: 14a + 4a = 18a 6 + 18a = 10a + -8 + 6a Reorder the terms: 6 + 18a = -8 + 10a + 6a Combine like terms: 10a + 6a = 16a 6 + 18a = -8 + 16a Solving 6 + 18a = -8 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 6 + 18a + -16a = -8 + 16a + -16a Combine like terms: 18a + -16a = 2a 6 + 2a = -8 + 16a + -16a Combine like terms: 16a + -16a = 0 6 + 2a = -8 + 0 6 + 2a = -8 Add '-6' to each side of the equation. 6 + -6 + 2a = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = -8 + -6 2a = -8 + -6 Combine like terms: -8 + -6 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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