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Simplifying 4a + -2b + 3 = 8b + a Reorder the terms: 3 + 4a + -2b = 8b + a Reorder the terms: 3 + 4a + -2b = a + 8b Solving 3 + 4a + -2b = a + 8b 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. 3 + 4a + -1a + -2b = a + -1a + 8b Combine like terms: 4a + -1a = 3a 3 + 3a + -2b = a + -1a + 8b Combine like terms: a + -1a = 0 3 + 3a + -2b = 0 + 8b 3 + 3a + -2b = 8b Add '-3' to each side of the equation. 3 + 3a + -3 + -2b = -3 + 8b Reorder the terms: 3 + -3 + 3a + -2b = -3 + 8b Combine like terms: 3 + -3 = 0 0 + 3a + -2b = -3 + 8b 3a + -2b = -3 + 8b Add '2b' to each side of the equation. 3a + -2b + 2b = -3 + 8b + 2b Combine like terms: -2b + 2b = 0 3a + 0 = -3 + 8b + 2b 3a = -3 + 8b + 2b Combine like terms: 8b + 2b = 10b 3a = -3 + 10b Divide each side by '3'. a = -1 + 3.333333333b Simplifying a = -1 + 3.333333333b
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