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Simplifying -16 = -3 + 6(k + 4) Reorder the terms: -16 = -3 + 6(4 + k) -16 = -3 + (4 * 6 + k * 6) -16 = -3 + (24 + 6k) Combine like terms: -3 + 24 = 21 -16 = 21 + 6k Solving -16 = 21 + 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. -16 + -6k = 21 + 6k + -6k Combine like terms: 6k + -6k = 0 -16 + -6k = 21 + 0 -16 + -6k = 21 Add '16' to each side of the equation. -16 + 16 + -6k = 21 + 16 Combine like terms: -16 + 16 = 0 0 + -6k = 21 + 16 -6k = 21 + 16 Combine like terms: 21 + 16 = 37 -6k = 37 Divide each side by '-6'. k = -6.166666667 Simplifying k = -6.166666667
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