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Simplifying 5a + -2 = 12 + -2a Reorder the terms: -2 + 5a = 12 + -2a Solving -2 + 5a = 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. -2 + 5a + 2a = 12 + -2a + 2a Combine like terms: 5a + 2a = 7a -2 + 7a = 12 + -2a + 2a Combine like terms: -2a + 2a = 0 -2 + 7a = 12 + 0 -2 + 7a = 12 Add '2' to each side of the equation. -2 + 2 + 7a = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7a = 12 + 2 7a = 12 + 2 Combine like terms: 12 + 2 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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