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Simplifying -218 = -8(3k + 7) + -3k Reorder the terms: -218 = -8(7 + 3k) + -3k -218 = (7 * -8 + 3k * -8) + -3k -218 = (-56 + -24k) + -3k Combine like terms: -24k + -3k = -27k -218 = -56 + -27k Solving -218 = -56 + -27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27k' to each side of the equation. -218 + 27k = -56 + -27k + 27k Combine like terms: -27k + 27k = 0 -218 + 27k = -56 + 0 -218 + 27k = -56 Add '218' to each side of the equation. -218 + 218 + 27k = -56 + 218 Combine like terms: -218 + 218 = 0 0 + 27k = -56 + 218 27k = -56 + 218 Combine like terms: -56 + 218 = 162 27k = 162 Divide each side by '27'. k = 6 Simplifying k = 6
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