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