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Simplifying -14 = -1(-3k + -7) Reorder the terms: -14 = -1(-7 + -3k) -14 = (-7 * -1 + -3k * -1) -14 = (7 + 3k) Solving -14 = 7 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -14 + -3k = 7 + 3k + -3k Combine like terms: 3k + -3k = 0 -14 + -3k = 7 + 0 -14 + -3k = 7 Add '14' to each side of the equation. -14 + 14 + -3k = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -3k = 7 + 14 -3k = 7 + 14 Combine like terms: 7 + 14 = 21 -3k = 21 Divide each side by '-3'. k = -7 Simplifying k = -7
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