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