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Simplifying 5a + -14 = 12a + -5 + -4a Reorder the terms: -14 + 5a = 12a + -5 + -4a Reorder the terms: -14 + 5a = -5 + 12a + -4a Combine like terms: 12a + -4a = 8a -14 + 5a = -5 + 8a Solving -14 + 5a = -5 + 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. -14 + 5a + -8a = -5 + 8a + -8a Combine like terms: 5a + -8a = -3a -14 + -3a = -5 + 8a + -8a Combine like terms: 8a + -8a = 0 -14 + -3a = -5 + 0 -14 + -3a = -5 Add '14' to each side of the equation. -14 + 14 + -3a = -5 + 14 Combine like terms: -14 + 14 = 0 0 + -3a = -5 + 14 -3a = -5 + 14 Combine like terms: -5 + 14 = 9 -3a = 9 Divide each side by '-3'. a = -3 Simplifying a = -3
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