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Simplifying 5a + 12 = 3 + 8a Reorder the terms: 12 + 5a = 3 + 8a Solving 12 + 5a = 3 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 12 + 5a + -8a = 3 + 8a + -8a Combine like terms: 5a + -8a = -3a 12 + -3a = 3 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + -3a = 3 + 0 12 + -3a = 3 Add '-12' to each side of the equation. 12 + -12 + -3a = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -3a = 3 + -12 -3a = 3 + -12 Combine like terms: 3 + -12 = -9 -3a = -9 Divide each side by '-3'. a = 3 Simplifying a = 3
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