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Simplifying 5a + 7a + -2 = 6 + -14a + 2a Reorder the terms: -2 + 5a + 7a = 6 + -14a + 2a Combine like terms: 5a + 7a = 12a -2 + 12a = 6 + -14a + 2a Combine like terms: -14a + 2a = -12a -2 + 12a = 6 + -12a Solving -2 + 12a = 6 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -2 + 12a + 12a = 6 + -12a + 12a Combine like terms: 12a + 12a = 24a -2 + 24a = 6 + -12a + 12a Combine like terms: -12a + 12a = 0 -2 + 24a = 6 + 0 -2 + 24a = 6 Add '2' to each side of the equation. -2 + 2 + 24a = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 24a = 6 + 2 24a = 6 + 2 Combine like terms: 6 + 2 = 8 24a = 8 Divide each side by '24'. a = 0.3333333333 Simplifying a = 0.3333333333
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