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Simplifying 4(3 + -5k) = 92 (3 * 4 + -5k * 4) = 92 (12 + -20k) = 92 Solving 12 + -20k = 92 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -20k = 92 + -12 Combine like terms: 12 + -12 = 0 0 + -20k = 92 + -12 -20k = 92 + -12 Combine like terms: 92 + -12 = 80 -20k = 80 Divide each side by '-20'. k = -4 Simplifying k = -4
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