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Simplifying -24 + -5k = 8(3k + 4) Reorder the terms: -24 + -5k = 8(4 + 3k) -24 + -5k = (4 * 8 + 3k * 8) -24 + -5k = (32 + 24k) Solving -24 + -5k = 32 + 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. -24 + -5k + -24k = 32 + 24k + -24k Combine like terms: -5k + -24k = -29k -24 + -29k = 32 + 24k + -24k Combine like terms: 24k + -24k = 0 -24 + -29k = 32 + 0 -24 + -29k = 32 Add '24' to each side of the equation. -24 + 24 + -29k = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -29k = 32 + 24 -29k = 32 + 24 Combine like terms: 32 + 24 = 56 -29k = 56 Divide each side by '-29'. k = -1.931034483 Simplifying k = -1.931034483
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