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Simplifying 12a + 30 = 2a + 260 Reorder the terms: 30 + 12a = 2a + 260 Reorder the terms: 30 + 12a = 260 + 2a Solving 30 + 12a = 260 + 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. 30 + 12a + -2a = 260 + 2a + -2a Combine like terms: 12a + -2a = 10a 30 + 10a = 260 + 2a + -2a Combine like terms: 2a + -2a = 0 30 + 10a = 260 + 0 30 + 10a = 260 Add '-30' to each side of the equation. 30 + -30 + 10a = 260 + -30 Combine like terms: 30 + -30 = 0 0 + 10a = 260 + -30 10a = 260 + -30 Combine like terms: 260 + -30 = 230 10a = 230 Divide each side by '10'. a = 23 Simplifying a = 23
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