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Simplifying -4 + 12a = 10 + -2a Solving -4 + 12a = 10 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -4 + 12a + 2a = 10 + -2a + 2a Combine like terms: 12a + 2a = 14a -4 + 14a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 -4 + 14a = 10 + 0 -4 + 14a = 10 Add '4' to each side of the equation. -4 + 4 + 14a = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 14a = 10 + 4 14a = 10 + 4 Combine like terms: 10 + 4 = 14 14a = 14 Divide each side by '14'. a = 1 Simplifying a = 1
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