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Simplifying 8a + 5 + 3a + -2 = 4a + -7 + 2a Reorder the terms: 5 + -2 + 8a + 3a = 4a + -7 + 2a Combine like terms: 5 + -2 = 3 3 + 8a + 3a = 4a + -7 + 2a Combine like terms: 8a + 3a = 11a 3 + 11a = 4a + -7 + 2a Reorder the terms: 3 + 11a = -7 + 4a + 2a Combine like terms: 4a + 2a = 6a 3 + 11a = -7 + 6a Solving 3 + 11a = -7 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 3 + 11a + -6a = -7 + 6a + -6a Combine like terms: 11a + -6a = 5a 3 + 5a = -7 + 6a + -6a Combine like terms: 6a + -6a = 0 3 + 5a = -7 + 0 3 + 5a = -7 Add '-3' to each side of the equation. 3 + -3 + 5a = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 5a = -7 + -3 5a = -7 + -3 Combine like terms: -7 + -3 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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