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Simplifying 12a + -14 = 4a + 106 Reorder the terms: -14 + 12a = 4a + 106 Reorder the terms: -14 + 12a = 106 + 4a Solving -14 + 12a = 106 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -14 + 12a + -4a = 106 + 4a + -4a Combine like terms: 12a + -4a = 8a -14 + 8a = 106 + 4a + -4a Combine like terms: 4a + -4a = 0 -14 + 8a = 106 + 0 -14 + 8a = 106 Add '14' to each side of the equation. -14 + 14 + 8a = 106 + 14 Combine like terms: -14 + 14 = 0 0 + 8a = 106 + 14 8a = 106 + 14 Combine like terms: 106 + 14 = 120 8a = 120 Divide each side by '8'. a = 15 Simplifying a = 15
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