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