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Simplifying 7a + 6 = -8a + 14 Reorder the terms: 6 + 7a = -8a + 14 Reorder the terms: 6 + 7a = 14 + -8a Solving 6 + 7a = 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. 6 + 7a + 8a = 14 + -8a + 8a Combine like terms: 7a + 8a = 15a 6 + 15a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 6 + 15a = 14 + 0 6 + 15a = 14 Add '-6' to each side of the equation. 6 + -6 + 15a = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 15a = 14 + -6 15a = 14 + -6 Combine like terms: 14 + -6 = 8 15a = 8 Divide each side by '15'. a = 0.5333333333 Simplifying a = 0.5333333333
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