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Simplifying -7k + -14 = -7(-8k + -7) Reorder the terms: -14 + -7k = -7(-8k + -7) Reorder the terms: -14 + -7k = -7(-7 + -8k) -14 + -7k = (-7 * -7 + -8k * -7) -14 + -7k = (49 + 56k) Solving -14 + -7k = 49 + 56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56k' to each side of the equation. -14 + -7k + -56k = 49 + 56k + -56k Combine like terms: -7k + -56k = -63k -14 + -63k = 49 + 56k + -56k Combine like terms: 56k + -56k = 0 -14 + -63k = 49 + 0 -14 + -63k = 49 Add '14' to each side of the equation. -14 + 14 + -63k = 49 + 14 Combine like terms: -14 + 14 = 0 0 + -63k = 49 + 14 -63k = 49 + 14 Combine like terms: 49 + 14 = 63 -63k = 63 Divide each side by '-63'. k = -1 Simplifying k = -1
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