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Simplifying 3a + 12 + -6a + 8 = 4a + -1 Reorder the terms: 12 + 8 + 3a + -6a = 4a + -1 Combine like terms: 12 + 8 = 20 20 + 3a + -6a = 4a + -1 Combine like terms: 3a + -6a = -3a 20 + -3a = 4a + -1 Reorder the terms: 20 + -3a = -1 + 4a Solving 20 + -3a = -1 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 20 + -3a + -4a = -1 + 4a + -4a Combine like terms: -3a + -4a = -7a 20 + -7a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 20 + -7a = -1 + 0 20 + -7a = -1 Add '-20' to each side of the equation. 20 + -20 + -7a = -1 + -20 Combine like terms: 20 + -20 = 0 0 + -7a = -1 + -20 -7a = -1 + -20 Combine like terms: -1 + -20 = -21 -7a = -21 Divide each side by '-7'. a = 3 Simplifying a = 3
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