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