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Simplifying 63k + -23k + 21 + -16 = 0 Reorder the terms: 21 + -16 + 63k + -23k = 0 Combine like terms: 21 + -16 = 5 5 + 63k + -23k = 0 Combine like terms: 63k + -23k = 40k 5 + 40k = 0 Solving 5 + 40k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 40k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 40k = 0 + -5 40k = 0 + -5 Combine like terms: 0 + -5 = -5 40k = -5 Divide each side by '40'. k = -0.125 Simplifying k = -0.125
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