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Simplifying 14 + 3a + -2 + -4a = 8a + 3 Reorder the terms: 14 + -2 + 3a + -4a = 8a + 3 Combine like terms: 14 + -2 = 12 12 + 3a + -4a = 8a + 3 Combine like terms: 3a + -4a = -1a 12 + -1a = 8a + 3 Reorder the terms: 12 + -1a = 3 + 8a Solving 12 + -1a = 3 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 12 + -1a + -8a = 3 + 8a + -8a Combine like terms: -1a + -8a = -9a 12 + -9a = 3 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + -9a = 3 + 0 12 + -9a = 3 Add '-12' to each side of the equation. 12 + -12 + -9a = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -9a = 3 + -12 -9a = 3 + -12 Combine like terms: 3 + -12 = -9 -9a = -9 Divide each side by '-9'. a = 1 Simplifying a = 1
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