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Simplifying 7 + -7a + 12 = -8a + 14 Reorder the terms: 7 + 12 + -7a = -8a + 14 Combine like terms: 7 + 12 = 19 19 + -7a = -8a + 14 Reorder the terms: 19 + -7a = 14 + -8a Solving 19 + -7a = 14 + -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. 19 + -7a + 8a = 14 + -8a + 8a Combine like terms: -7a + 8a = 1a 19 + 1a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 19 + 1a = 14 + 0 19 + 1a = 14 Add '-19' to each side of the equation. 19 + -19 + 1a = 14 + -19 Combine like terms: 19 + -19 = 0 0 + 1a = 14 + -19 1a = 14 + -19 Combine like terms: 14 + -19 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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