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Simplifying 7(6 + -2a) = 6k + 5 + -8k (6 * 7 + -2a * 7) = 6k + 5 + -8k (42 + -14a) = 6k + 5 + -8k Reorder the terms: 42 + -14a = 5 + 6k + -8k Combine like terms: 6k + -8k = -2k 42 + -14a = 5 + -2k Solving 42 + -14a = 5 + -2k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -14a = 5 + -42 + -2k Combine like terms: 42 + -42 = 0 0 + -14a = 5 + -42 + -2k -14a = 5 + -42 + -2k Combine like terms: 5 + -42 = -37 -14a = -37 + -2k Divide each side by '-14'. a = 2.642857143 + 0.1428571429k Simplifying a = 2.642857143 + 0.1428571429k
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