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Simplifying -8 + 6(a + 7) = 1 Reorder the terms: -8 + 6(7 + a) = 1 -8 + (7 * 6 + a * 6) = 1 -8 + (42 + 6a) = 1 Combine like terms: -8 + 42 = 34 34 + 6a = 1 Solving 34 + 6a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 6a = 1 + -34 Combine like terms: 34 + -34 = 0 0 + 6a = 1 + -34 6a = 1 + -34 Combine like terms: 1 + -34 = -33 6a = -33 Divide each side by '6'. a = -5.5 Simplifying a = -5.5
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