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Simplifying 12a + -14 + 12 = 10 + 4a Reorder the terms: -14 + 12 + 12a = 10 + 4a Combine like terms: -14 + 12 = -2 -2 + 12a = 10 + 4a Solving -2 + 12a = 10 + 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. -2 + 12a + -4a = 10 + 4a + -4a Combine like terms: 12a + -4a = 8a -2 + 8a = 10 + 4a + -4a Combine like terms: 4a + -4a = 0 -2 + 8a = 10 + 0 -2 + 8a = 10 Add '2' to each side of the equation. -2 + 2 + 8a = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 8a = 10 + 2 8a = 10 + 2 Combine like terms: 10 + 2 = 12 8a = 12 Divide each side by '8'. a = 1.5 Simplifying a = 1.5
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