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Simplifying 5a + -12 = 24 + 2a Reorder the terms: -12 + 5a = 24 + 2a Solving -12 + 5a = 24 + 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 = 24 + 2a + -2a Combine like terms: 5a + -2a = 3a -12 + 3a = 24 + 2a + -2a Combine like terms: 2a + -2a = 0 -12 + 3a = 24 + 0 -12 + 3a = 24 Add '12' to each side of the equation. -12 + 12 + 3a = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = 24 + 12 3a = 24 + 12 Combine like terms: 24 + 12 = 36 3a = 36 Divide each side by '3'. a = 12 Simplifying a = 12
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