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Simplifying 10(-4 + k) = 2k (-4 * 10 + k * 10) = 2k (-40 + 10k) = 2k Solving -40 + 10k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -40 + 10k + -2k = 2k + -2k Combine like terms: 10k + -2k = 8k -40 + 8k = 2k + -2k Combine like terms: 2k + -2k = 0 -40 + 8k = 0 Add '40' to each side of the equation. -40 + 40 + 8k = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 8k = 0 + 40 8k = 0 + 40 Combine like terms: 0 + 40 = 40 8k = 40 Divide each side by '8'. k = 5 Simplifying k = 5
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