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Simplifying 5[4 + -1k] = 10k [4 * 5 + -1k * 5] = 10k [20 + -5k] = 10k Solving 20 + -5k = 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 20 + -5k + -10k = 10k + -10k Combine like terms: -5k + -10k = -15k 20 + -15k = 10k + -10k Combine like terms: 10k + -10k = 0 20 + -15k = 0 Add '-20' to each side of the equation. 20 + -20 + -15k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -15k = 0 + -20 -15k = 0 + -20 Combine like terms: 0 + -20 = -20 -15k = -20 Divide each side by '-15'. k = 1.333333333 Simplifying k = 1.333333333
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