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Simplifying -8(1 + 3k) + -6 = 15 + 5k (1 * -8 + 3k * -8) + -6 = 15 + 5k (-8 + -24k) + -6 = 15 + 5k Reorder the terms: -8 + -6 + -24k = 15 + 5k Combine like terms: -8 + -6 = -14 -14 + -24k = 15 + 5k Solving -14 + -24k = 15 + 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. -14 + -24k + -5k = 15 + 5k + -5k Combine like terms: -24k + -5k = -29k -14 + -29k = 15 + 5k + -5k Combine like terms: 5k + -5k = 0 -14 + -29k = 15 + 0 -14 + -29k = 15 Add '14' to each side of the equation. -14 + 14 + -29k = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -29k = 15 + 14 -29k = 15 + 14 Combine like terms: 15 + 14 = 29 -29k = 29 Divide each side by '-29'. k = -1 Simplifying k = -1
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