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Simplifying 9 + 5a + -14w = 12 + -6w Solving 9 + 5a + -14w = 12 + -6w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 5a + -9 + -14w = 12 + -9 + -6w Reorder the terms: 9 + -9 + 5a + -14w = 12 + -9 + -6w Combine like terms: 9 + -9 = 0 0 + 5a + -14w = 12 + -9 + -6w 5a + -14w = 12 + -9 + -6w Combine like terms: 12 + -9 = 3 5a + -14w = 3 + -6w Add '14w' to each side of the equation. 5a + -14w + 14w = 3 + -6w + 14w Combine like terms: -14w + 14w = 0 5a + 0 = 3 + -6w + 14w 5a = 3 + -6w + 14w Combine like terms: -6w + 14w = 8w 5a = 3 + 8w Divide each side by '5'. a = 0.6 + 1.6w Simplifying a = 0.6 + 1.6w
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