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