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Simplifying 16 + 4k = -6(8 + -2k) 16 + 4k = (8 * -6 + -2k * -6) 16 + 4k = (-48 + 12k) Solving 16 + 4k = -48 + 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 + 4k + -12k = -48 + 12k + -12k Combine like terms: 4k + -12k = -8k 16 + -8k = -48 + 12k + -12k Combine like terms: 12k + -12k = 0 16 + -8k = -48 + 0 16 + -8k = -48 Add '-16' to each side of the equation. 16 + -16 + -8k = -48 + -16 Combine like terms: 16 + -16 = 0 0 + -8k = -48 + -16 -8k = -48 + -16 Combine like terms: -48 + -16 = -64 -8k = -64 Divide each side by '-8'. k = 8 Simplifying k = 8
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