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Simplifying 10k + -3(5 + 2k) = 13 10k + (5 * -3 + 2k * -3) = 13 10k + (-15 + -6k) = 13 Reorder the terms: -15 + 10k + -6k = 13 Combine like terms: 10k + -6k = 4k -15 + 4k = 13 Solving -15 + 4k = 13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4k = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 4k = 13 + 15 4k = 13 + 15 Combine like terms: 13 + 15 = 28 4k = 28 Divide each side by '4'. k = 7 Simplifying k = 7
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