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Simplifying 5a + 12 = 2a + 30 Reorder the terms: 12 + 5a = 2a + 30 Reorder the terms: 12 + 5a = 30 + 2a Solving 12 + 5a = 30 + 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. 12 + 5a + -2a = 30 + 2a + -2a Combine like terms: 5a + -2a = 3a 12 + 3a = 30 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + 3a = 30 + 0 12 + 3a = 30 Add '-12' to each side of the equation. 12 + -12 + 3a = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 30 + -12 3a = 30 + -12 Combine like terms: 30 + -12 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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