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Simplifying 7(4s + 6t) + (s + -4t) * 5 = 0 (4s * 7 + 6t * 7) + (s + -4t) * 5 = 0 (28s + 42t) + (s + -4t) * 5 = 0 Reorder the terms for easier multiplication: 28s + 42t + 5(s + -4t) = 0 28s + 42t + (s * 5 + -4t * 5) = 0 28s + 42t + (5s + -20t) = 0 Reorder the terms: 28s + 5s + 42t + -20t = 0 Combine like terms: 28s + 5s = 33s 33s + 42t + -20t = 0 Combine like terms: 42t + -20t = 22t 33s + 22t = 0 Solving 33s + 22t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-22t' to each side of the equation. 33s + 22t + -22t = 0 + -22t Combine like terms: 22t + -22t = 0 33s + 0 = 0 + -22t 33s = 0 + -22t Remove the zero: 33s = -22t Divide each side by '33'. s = -0.6666666667t Simplifying s = -0.6666666667t
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