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Simplifying 2a + 4b + -3c + 9d + 6e = 14f Solving 2a + 4b + -3c + 9d + 6e = 14f Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 2a + 4b + -3c + 9d + -4b + 6e = -4b + 14f Reorder the terms: 2a + 4b + -4b + -3c + 9d + 6e = -4b + 14f Combine like terms: 4b + -4b = 0 2a + 0 + -3c + 9d + 6e = -4b + 14f 2a + -3c + 9d + 6e = -4b + 14f Add '3c' to each side of the equation. 2a + -3c + 9d + 3c + 6e = -4b + 3c + 14f Reorder the terms: 2a + -3c + 3c + 9d + 6e = -4b + 3c + 14f Combine like terms: -3c + 3c = 0 2a + 0 + 9d + 6e = -4b + 3c + 14f 2a + 9d + 6e = -4b + 3c + 14f Add '-9d' to each side of the equation. 2a + 9d + -9d + 6e = -4b + 3c + -9d + 14f Combine like terms: 9d + -9d = 0 2a + 0 + 6e = -4b + 3c + -9d + 14f 2a + 6e = -4b + 3c + -9d + 14f Add '-6e' to each side of the equation. 2a + 6e + -6e = -4b + 3c + -9d + -6e + 14f Combine like terms: 6e + -6e = 0 2a + 0 = -4b + 3c + -9d + -6e + 14f 2a = -4b + 3c + -9d + -6e + 14f Divide each side by '2'. a = -2b + 1.5c + -4.5d + -3e + 7f Simplifying a = -2b + 1.5c + -4.5d + -3e + 7f
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