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Simplifying 3a + b + 4 = a + b + 10 Reorder the terms: 4 + 3a + b = a + b + 10 Reorder the terms: 4 + 3a + b = 10 + a + b Add '-1b' to each side of the equation. 4 + 3a + b + -1b = 10 + a + b + -1b Combine like terms: b + -1b = 0 4 + 3a + 0 = 10 + a + b + -1b 4 + 3a = 10 + a + b + -1b Combine like terms: b + -1b = 0 4 + 3a = 10 + a + 0 4 + 3a = 10 + a Solving 4 + 3a = 10 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 4 + 3a + -1a = 10 + a + -1a Combine like terms: 3a + -1a = 2a 4 + 2a = 10 + a + -1a Combine like terms: a + -1a = 0 4 + 2a = 10 + 0 4 + 2a = 10 Add '-4' to each side of the equation. 4 + -4 + 2a = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2a = 10 + -4 2a = 10 + -4 Combine like terms: 10 + -4 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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