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Simplifying -154 = -7(6 + -2k) -154 = (6 * -7 + -2k * -7) -154 = (-42 + 14k) Solving -154 = -42 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -154 + -14k = -42 + 14k + -14k Combine like terms: 14k + -14k = 0 -154 + -14k = -42 + 0 -154 + -14k = -42 Add '154' to each side of the equation. -154 + 154 + -14k = -42 + 154 Combine like terms: -154 + 154 = 0 0 + -14k = -42 + 154 -14k = -42 + 154 Combine like terms: -42 + 154 = 112 -14k = 112 Divide each side by '-14'. k = -8 Simplifying k = -8
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