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Simplifying 8 + a + 1 + -3 = 1 + 6a Reorder the terms: 8 + 1 + -3 + a = 1 + 6a Combine like terms: 8 + 1 = 9 9 + -3 + a = 1 + 6a Combine like terms: 9 + -3 = 6 6 + a = 1 + 6a Solving 6 + a = 1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 6 + a + -6a = 1 + 6a + -6a Combine like terms: a + -6a = -5a 6 + -5a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 6 + -5a = 1 + 0 6 + -5a = 1 Add '-6' to each side of the equation. 6 + -6 + -5a = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = 1 + -6 -5a = 1 + -6 Combine like terms: 1 + -6 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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