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Simplifying 7a + 8 = 3a + -6 Reorder the terms: 8 + 7a = 3a + -6 Reorder the terms: 8 + 7a = -6 + 3a Solving 8 + 7a = -6 + 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. 8 + 7a + -3a = -6 + 3a + -3a Combine like terms: 7a + -3a = 4a 8 + 4a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + 4a = -6 + 0 8 + 4a = -6 Add '-8' to each side of the equation. 8 + -8 + 4a = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 4a = -6 + -8 4a = -6 + -8 Combine like terms: -6 + -8 = -14 4a = -14 Divide each side by '4'. a = -3.5 Simplifying a = -3.5
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