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Simplifying 12a + 3 = -2a + 17 Reorder the terms: 3 + 12a = -2a + 17 Reorder the terms: 3 + 12a = 17 + -2a Solving 3 + 12a = 17 + -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. 3 + 12a + 2a = 17 + -2a + 2a Combine like terms: 12a + 2a = 14a 3 + 14a = 17 + -2a + 2a Combine like terms: -2a + 2a = 0 3 + 14a = 17 + 0 3 + 14a = 17 Add '-3' to each side of the equation. 3 + -3 + 14a = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 14a = 17 + -3 14a = 17 + -3 Combine like terms: 17 + -3 = 14 14a = 14 Divide each side by '14'. a = 1 Simplifying a = 1
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