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Simplifying 8(-7 + 2k) = 39 + -3k (-7 * 8 + 2k * 8) = 39 + -3k (-56 + 16k) = 39 + -3k Solving -56 + 16k = 39 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -56 + 16k + 3k = 39 + -3k + 3k Combine like terms: 16k + 3k = 19k -56 + 19k = 39 + -3k + 3k Combine like terms: -3k + 3k = 0 -56 + 19k = 39 + 0 -56 + 19k = 39 Add '56' to each side of the equation. -56 + 56 + 19k = 39 + 56 Combine like terms: -56 + 56 = 0 0 + 19k = 39 + 56 19k = 39 + 56 Combine like terms: 39 + 56 = 95 19k = 95 Divide each side by '19'. k = 5 Simplifying k = 5
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