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Simplifying 8a + 3a + 50 = 4 + 3a + 6 Reorder the terms: 50 + 8a + 3a = 4 + 3a + 6 Combine like terms: 8a + 3a = 11a 50 + 11a = 4 + 3a + 6 Reorder the terms: 50 + 11a = 4 + 6 + 3a Combine like terms: 4 + 6 = 10 50 + 11a = 10 + 3a Solving 50 + 11a = 10 + 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. 50 + 11a + -3a = 10 + 3a + -3a Combine like terms: 11a + -3a = 8a 50 + 8a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 50 + 8a = 10 + 0 50 + 8a = 10 Add '-50' to each side of the equation. 50 + -50 + 8a = 10 + -50 Combine like terms: 50 + -50 = 0 0 + 8a = 10 + -50 8a = 10 + -50 Combine like terms: 10 + -50 = -40 8a = -40 Divide each side by '8'. a = -5 Simplifying a = -5
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