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Simplifying 8a + 12 = a + 33 Reorder the terms: 12 + 8a = a + 33 Reorder the terms: 12 + 8a = 33 + a Solving 12 + 8a = 33 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 12 + 8a + -1a = 33 + a + -1a Combine like terms: 8a + -1a = 7a 12 + 7a = 33 + a + -1a Combine like terms: a + -1a = 0 12 + 7a = 33 + 0 12 + 7a = 33 Add '-12' to each side of the equation. 12 + -12 + 7a = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 7a = 33 + -12 7a = 33 + -12 Combine like terms: 33 + -12 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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