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Simplifying 14 + -8 + -9a + 10a = 9a + -6a Combine like terms: 14 + -8 = 6 6 + -9a + 10a = 9a + -6a Combine like terms: -9a + 10a = 1a 6 + 1a = 9a + -6a Combine like terms: 9a + -6a = 3a 6 + 1a = 3a Solving 6 + 1a = 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. 6 + 1a + -3a = 3a + -3a Combine like terms: 1a + -3a = -2a 6 + -2a = 3a + -3a Combine like terms: 3a + -3a = 0 6 + -2a = 0 Add '-6' to each side of the equation. 6 + -6 + -2a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2a = 0 + -6 -2a = 0 + -6 Combine like terms: 0 + -6 = -6 -2a = -6 Divide each side by '-2'. a = 3 Simplifying a = 3
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