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Simplifying -4k + 4k + -5k + -1(-8k) + (-5) = -14 Remove parenthesis around (-8k) -4k + 4k + -5k + -1 * -8k + (-5) = -14 Multiply -1 * -8 -4k + 4k + -5k + 8k + (-5) = -14 -4k + 4k + -5k + 8k + -5 = -14 Reorder the terms: -5 + -4k + 4k + -5k + 8k = -14 Combine like terms: -4k + 4k = 0 -5 + 0 + -5k + 8k = -14 -5 + -5k + 8k = -14 Combine like terms: -5k + 8k = 3k -5 + 3k = -14 Solving -5 + 3k = -14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3k = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 3k = -14 + 5 3k = -14 + 5 Combine like terms: -14 + 5 = -9 3k = -9 Divide each side by '3'. k = -3 Simplifying k = -3
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