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Simplifying -16 = 6(2k + 3) Reorder the terms: -16 = 6(3 + 2k) -16 = (3 * 6 + 2k * 6) -16 = (18 + 12k) Solving -16 = 18 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -16 + -12k = 18 + 12k + -12k Combine like terms: 12k + -12k = 0 -16 + -12k = 18 + 0 -16 + -12k = 18 Add '16' to each side of the equation. -16 + 16 + -12k = 18 + 16 Combine like terms: -16 + 16 = 0 0 + -12k = 18 + 16 -12k = 18 + 16 Combine like terms: 18 + 16 = 34 -12k = 34 Divide each side by '-12'. k = -2.833333333 Simplifying k = -2.833333333
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