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Simplifying 4a + -8a + 3 = -4a + 67 + -8a Reorder the terms: 3 + 4a + -8a = -4a + 67 + -8a Combine like terms: 4a + -8a = -4a 3 + -4a = -4a + 67 + -8a Reorder the terms: 3 + -4a = 67 + -4a + -8a Combine like terms: -4a + -8a = -12a 3 + -4a = 67 + -12a Solving 3 + -4a = 67 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 3 + -4a + 12a = 67 + -12a + 12a Combine like terms: -4a + 12a = 8a 3 + 8a = 67 + -12a + 12a Combine like terms: -12a + 12a = 0 3 + 8a = 67 + 0 3 + 8a = 67 Add '-3' to each side of the equation. 3 + -3 + 8a = 67 + -3 Combine like terms: 3 + -3 = 0 0 + 8a = 67 + -3 8a = 67 + -3 Combine like terms: 67 + -3 = 64 8a = 64 Divide each side by '8'. a = 8 Simplifying a = 8
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