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Simplifying 15a + 14 = -7a + 10a Reorder the terms: 14 + 15a = -7a + 10a Combine like terms: -7a + 10a = 3a 14 + 15a = 3a Solving 14 + 15a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 14 + 15a + -3a = 3a + -3a Combine like terms: 15a + -3a = 12a 14 + 12a = 3a + -3a Combine like terms: 3a + -3a = 0 14 + 12a = 0 Add '-14' to each side of the equation. 14 + -14 + 12a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 12a = 0 + -14 12a = 0 + -14 Combine like terms: 0 + -14 = -14 12a = -14 Divide each side by '12'. a = -1.166666667 Simplifying a = -1.166666667
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