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Simplifying 4a + 6 = 9a + -14 Reorder the terms: 6 + 4a = 9a + -14 Reorder the terms: 6 + 4a = -14 + 9a Solving 6 + 4a = -14 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 6 + 4a + -9a = -14 + 9a + -9a Combine like terms: 4a + -9a = -5a 6 + -5a = -14 + 9a + -9a Combine like terms: 9a + -9a = 0 6 + -5a = -14 + 0 6 + -5a = -14 Add '-6' to each side of the equation. 6 + -6 + -5a = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = -14 + -6 -5a = -14 + -6 Combine like terms: -14 + -6 = -20 -5a = -20 Divide each side by '-5'. a = 4 Simplifying a = 4
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