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Simplifying 1 + 7a = 2 + 6 + 8a + -2a Combine like terms: 2 + 6 = 8 1 + 7a = 8 + 8a + -2a Combine like terms: 8a + -2a = 6a 1 + 7a = 8 + 6a Solving 1 + 7a = 8 + 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. 1 + 7a + -6a = 8 + 6a + -6a Combine like terms: 7a + -6a = 1a 1 + 1a = 8 + 6a + -6a Combine like terms: 6a + -6a = 0 1 + 1a = 8 + 0 1 + 1a = 8 Add '-1' to each side of the equation. 1 + -1 + 1a = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = 8 + -1 1a = 8 + -1 Combine like terms: 8 + -1 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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