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Simplifying 5a + -12 = 5 + -5a + 3 Reorder the terms: -12 + 5a = 5 + -5a + 3 Reorder the terms: -12 + 5a = 5 + 3 + -5a Combine like terms: 5 + 3 = 8 -12 + 5a = 8 + -5a Solving -12 + 5a = 8 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -12 + 5a + 5a = 8 + -5a + 5a Combine like terms: 5a + 5a = 10a -12 + 10a = 8 + -5a + 5a Combine like terms: -5a + 5a = 0 -12 + 10a = 8 + 0 -12 + 10a = 8 Add '12' to each side of the equation. -12 + 12 + 10a = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10a = 8 + 12 10a = 8 + 12 Combine like terms: 8 + 12 = 20 10a = 20 Divide each side by '10'. a = 2 Simplifying a = 2
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