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Simplifying -39 + 5k = 8(3k + 7) Reorder the terms: -39 + 5k = 8(7 + 3k) -39 + 5k = (7 * 8 + 3k * 8) -39 + 5k = (56 + 24k) Solving -39 + 5k = 56 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -39 + 5k + -24k = 56 + 24k + -24k Combine like terms: 5k + -24k = -19k -39 + -19k = 56 + 24k + -24k Combine like terms: 24k + -24k = 0 -39 + -19k = 56 + 0 -39 + -19k = 56 Add '39' to each side of the equation. -39 + 39 + -19k = 56 + 39 Combine like terms: -39 + 39 = 0 0 + -19k = 56 + 39 -19k = 56 + 39 Combine like terms: 56 + 39 = 95 -19k = 95 Divide each side by '-19'. k = -5 Simplifying k = -5
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