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