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Simplifying 42 = 18t + 4(t + k) Reorder the terms: 42 = 18t + 4(k + t) 42 = 18t + (k * 4 + t * 4) 42 = 18t + (4k + 4t) Reorder the terms: 42 = 4k + 18t + 4t Combine like terms: 18t + 4t = 22t 42 = 4k + 22t Solving 42 = 4k + 22t Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 42 + -4k = 4k + -4k + 22t Combine like terms: 4k + -4k = 0 42 + -4k = 0 + 22t 42 + -4k = 22t Add '-42' to each side of the equation. 42 + -42 + -4k = -42 + 22t Combine like terms: 42 + -42 = 0 0 + -4k = -42 + 22t -4k = -42 + 22t Divide each side by '-4'. k = 10.5 + -5.5t Simplifying k = 10.5 + -5.5t
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