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Simplifying a + 6 = 3a + -8 Reorder the terms: 6 + a = 3a + -8 Reorder the terms: 6 + a = -8 + 3a Solving 6 + a = -8 + 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. 6 + a + -3a = -8 + 3a + -3a Combine like terms: a + -3a = -2a 6 + -2a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 6 + -2a = -8 + 0 6 + -2a = -8 Add '-6' to each side of the equation. 6 + -6 + -2a = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2a = -8 + -6 -2a = -8 + -6 Combine like terms: -8 + -6 = -14 -2a = -14 Divide each side by '-2'. a = 7 Simplifying a = 7
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