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Simplifying 6(1 + 8a) = -34 + 8a (1 * 6 + 8a * 6) = -34 + 8a (6 + 48a) = -34 + 8a Solving 6 + 48a = -34 + 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. 6 + 48a + -8a = -34 + 8a + -8a Combine like terms: 48a + -8a = 40a 6 + 40a = -34 + 8a + -8a Combine like terms: 8a + -8a = 0 6 + 40a = -34 + 0 6 + 40a = -34 Add '-6' to each side of the equation. 6 + -6 + 40a = -34 + -6 Combine like terms: 6 + -6 = 0 0 + 40a = -34 + -6 40a = -34 + -6 Combine like terms: -34 + -6 = -40 40a = -40 Divide each side by '40'. a = -1 Simplifying a = -1
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