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Simplifying 7a + a + 14 = 8a + -4 + 3a Reorder the terms: 14 + 7a + a = 8a + -4 + 3a Combine like terms: 7a + a = 8a 14 + 8a = 8a + -4 + 3a Reorder the terms: 14 + 8a = -4 + 8a + 3a Combine like terms: 8a + 3a = 11a 14 + 8a = -4 + 11a Solving 14 + 8a = -4 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 14 + 8a + -11a = -4 + 11a + -11a Combine like terms: 8a + -11a = -3a 14 + -3a = -4 + 11a + -11a Combine like terms: 11a + -11a = 0 14 + -3a = -4 + 0 14 + -3a = -4 Add '-14' to each side of the equation. 14 + -14 + -3a = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -3a = -4 + -14 -3a = -4 + -14 Combine like terms: -4 + -14 = -18 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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