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Simplifying -22 = 7 + 6(k + -3) Reorder the terms: -22 = 7 + 6(-3 + k) -22 = 7 + (-3 * 6 + k * 6) -22 = 7 + (-18 + 6k) Combine like terms: 7 + -18 = -11 -22 = -11 + 6k Solving -22 = -11 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -22 + -6k = -11 + 6k + -6k Combine like terms: 6k + -6k = 0 -22 + -6k = -11 + 0 -22 + -6k = -11 Add '22' to each side of the equation. -22 + 22 + -6k = -11 + 22 Combine like terms: -22 + 22 = 0 0 + -6k = -11 + 22 -6k = -11 + 22 Combine like terms: -11 + 22 = 11 -6k = 11 Divide each side by '-6'. k = -1.833333333 Simplifying k = -1.833333333
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