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Simplifying 4a + 6 = 12 + -2a Reorder the terms: 6 + 4a = 12 + -2a Solving 6 + 4a = 12 + -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. 6 + 4a + 2a = 12 + -2a + 2a Combine like terms: 4a + 2a = 6a 6 + 6a = 12 + -2a + 2a Combine like terms: -2a + 2a = 0 6 + 6a = 12 + 0 6 + 6a = 12 Add '-6' to each side of the equation. 6 + -6 + 6a = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 6a = 12 + -6 6a = 12 + -6 Combine like terms: 12 + -6 = 6 6a = 6 Divide each side by '6'. a = 1 Simplifying a = 1
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