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Simplifying -8 + 4a + -12 = 2a + 10 Reorder the terms: -8 + -12 + 4a = 2a + 10 Combine like terms: -8 + -12 = -20 -20 + 4a = 2a + 10 Reorder the terms: -20 + 4a = 10 + 2a Solving -20 + 4a = 10 + 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 = 10 + 2a + -2a Combine like terms: 4a + -2a = 2a -20 + 2a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 2a = 10 + 0 -20 + 2a = 10 Add '20' to each side of the equation. -20 + 20 + 2a = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = 10 + 20 2a = 10 + 20 Combine like terms: 10 + 20 = 30 2a = 30 Divide each side by '2'. a = 15 Simplifying a = 15
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