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Simplifying 8 = a + (7a + 2) Reorder the terms: 8 = a + (2 + 7a) Remove parenthesis around (2 + 7a) 8 = a + 2 + 7a Reorder the terms: 8 = 2 + a + 7a Combine like terms: a + 7a = 8a 8 = 2 + 8a Solving 8 = 2 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 8 + -8a = 2 + 8a + -8a Combine like terms: 8a + -8a = 0 8 + -8a = 2 + 0 8 + -8a = 2 Add '-8' to each side of the equation. 8 + -8 + -8a = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -8a = 2 + -8 -8a = 2 + -8 Combine like terms: 2 + -8 = -6 -8a = -6 Divide each side by '-8'. a = 0.75 Simplifying a = 0.75
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