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Simplifying 5t + -8k + w + 9 = 55 Reorder the terms: 9 + -8k + 5t + w = 55 Solving 9 + -8k + 5t + w = 55 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -8k + 5t + -9 + w = 55 + -9 Reorder the terms: 9 + -9 + -8k + 5t + w = 55 + -9 Combine like terms: 9 + -9 = 0 0 + -8k + 5t + w = 55 + -9 -8k + 5t + w = 55 + -9 Combine like terms: 55 + -9 = 46 -8k + 5t + w = 46 Add '-5t' to each side of the equation. -8k + 5t + -5t + w = 46 + -5t Combine like terms: 5t + -5t = 0 -8k + 0 + w = 46 + -5t -8k + w = 46 + -5t Add '-1w' to each side of the equation. -8k + w + -1w = 46 + -5t + -1w Combine like terms: w + -1w = 0 -8k + 0 = 46 + -5t + -1w -8k = 46 + -5t + -1w Divide each side by '-8'. k = -5.75 + 0.625t + 0.125w Simplifying k = -5.75 + 0.625t + 0.125w
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