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Simplifying 3a + 5a + -12 = 4a + 8 Reorder the terms: -12 + 3a + 5a = 4a + 8 Combine like terms: 3a + 5a = 8a -12 + 8a = 4a + 8 Reorder the terms: -12 + 8a = 8 + 4a Solving -12 + 8a = 8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -12 + 8a + -4a = 8 + 4a + -4a Combine like terms: 8a + -4a = 4a -12 + 4a = 8 + 4a + -4a Combine like terms: 4a + -4a = 0 -12 + 4a = 8 + 0 -12 + 4a = 8 Add '12' to each side of the equation. -12 + 12 + 4a = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4a = 8 + 12 4a = 8 + 12 Combine like terms: 8 + 12 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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