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Simplifying 2a + -4 + 12 = 3a + -4 + 2 Reorder the terms: -4 + 12 + 2a = 3a + -4 + 2 Combine like terms: -4 + 12 = 8 8 + 2a = 3a + -4 + 2 Reorder the terms: 8 + 2a = -4 + 2 + 3a Combine like terms: -4 + 2 = -2 8 + 2a = -2 + 3a Solving 8 + 2a = -2 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 8 + 2a + -3a = -2 + 3a + -3a Combine like terms: 2a + -3a = -1a 8 + -1a = -2 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + -1a = -2 + 0 8 + -1a = -2 Add '-8' to each side of the equation. 8 + -8 + -1a = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = -2 + -8 -1a = -2 + -8 Combine like terms: -2 + -8 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10
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