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Simplifying 12 + 3a + -5 + -8 = 2a + 3 Reorder the terms: 12 + -5 + -8 + 3a = 2a + 3 Combine like terms: 12 + -5 = 7 7 + -8 + 3a = 2a + 3 Combine like terms: 7 + -8 = -1 -1 + 3a = 2a + 3 Reorder the terms: -1 + 3a = 3 + 2a Solving -1 + 3a = 3 + 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. -1 + 3a + -2a = 3 + 2a + -2a Combine like terms: 3a + -2a = 1a -1 + 1a = 3 + 2a + -2a Combine like terms: 2a + -2a = 0 -1 + 1a = 3 + 0 -1 + 1a = 3 Add '1' to each side of the equation. -1 + 1 + 1a = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 1a = 3 + 1 1a = 3 + 1 Combine like terms: 3 + 1 = 4 1a = 4 Divide each side by '1'. a = 4 Simplifying a = 4
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