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Simplifying 8(3k + -3) + -4k = 5k + -39 Reorder the terms: 8(-3 + 3k) + -4k = 5k + -39 (-3 * 8 + 3k * 8) + -4k = 5k + -39 (-24 + 24k) + -4k = 5k + -39 Combine like terms: 24k + -4k = 20k -24 + 20k = 5k + -39 Reorder the terms: -24 + 20k = -39 + 5k Solving -24 + 20k = -39 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -24 + 20k + -5k = -39 + 5k + -5k Combine like terms: 20k + -5k = 15k -24 + 15k = -39 + 5k + -5k Combine like terms: 5k + -5k = 0 -24 + 15k = -39 + 0 -24 + 15k = -39 Add '24' to each side of the equation. -24 + 24 + 15k = -39 + 24 Combine like terms: -24 + 24 = 0 0 + 15k = -39 + 24 15k = -39 + 24 Combine like terms: -39 + 24 = -15 15k = -15 Divide each side by '15'. k = -1 Simplifying k = -1
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