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Simplifying 9k + -7t = 3s(5 + 4t) 9k + -7t = (5 * 3s + 4t * 3s) 9k + -7t = (15s + 12st) Solving 9k + -7t = 15s + 12st Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7t' to each side of the equation. 9k + -7t + 7t = 15s + 12st + 7t Combine like terms: -7t + 7t = 0 9k + 0 = 15s + 12st + 7t 9k = 15s + 12st + 7t Divide each side by '9'. k = 1.666666667s + 1.333333333st + 0.7777777778t Simplifying k = 1.666666667s + 1.333333333st + 0.7777777778t
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