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Simplifying 3a + -4a + -12 + 5a + -8 = 4 + 2a Reorder the terms: -12 + -8 + 3a + -4a + 5a = 4 + 2a Combine like terms: -12 + -8 = -20 -20 + 3a + -4a + 5a = 4 + 2a Combine like terms: 3a + -4a = -1a -20 + -1a + 5a = 4 + 2a Combine like terms: -1a + 5a = 4a -20 + 4a = 4 + 2a Solving -20 + 4a = 4 + 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. -20 + 4a + -2a = 4 + 2a + -2a Combine like terms: 4a + -2a = 2a -20 + 2a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 2a = 4 + 0 -20 + 2a = 4 Add '20' to each side of the equation. -20 + 20 + 2a = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = 4 + 20 2a = 4 + 20 Combine like terms: 4 + 20 = 24 2a = 24 Divide each side by '2'. a = 12 Simplifying a = 12
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