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Simplifying 4k + -24k + -16 = 5 + -7 + 9k Reorder the terms: -16 + 4k + -24k = 5 + -7 + 9k Combine like terms: 4k + -24k = -20k -16 + -20k = 5 + -7 + 9k Combine like terms: 5 + -7 = -2 -16 + -20k = -2 + 9k Solving -16 + -20k = -2 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -16 + -20k + -9k = -2 + 9k + -9k Combine like terms: -20k + -9k = -29k -16 + -29k = -2 + 9k + -9k Combine like terms: 9k + -9k = 0 -16 + -29k = -2 + 0 -16 + -29k = -2 Add '16' to each side of the equation. -16 + 16 + -29k = -2 + 16 Combine like terms: -16 + 16 = 0 0 + -29k = -2 + 16 -29k = -2 + 16 Combine like terms: -2 + 16 = 14 -29k = 14 Divide each side by '-29'. k = -0.4827586207 Simplifying k = -0.4827586207
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