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Simplifying 4(t + -1s) = 5s + 12 Reorder the terms: 4(-1s + t) = 5s + 12 (-1s * 4 + t * 4) = 5s + 12 (-4s + 4t) = 5s + 12 Reorder the terms: -4s + 4t = 12 + 5s Solving -4s + 4t = 12 + 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. -4s + -5s + 4t = 12 + 5s + -5s Combine like terms: -4s + -5s = -9s -9s + 4t = 12 + 5s + -5s Combine like terms: 5s + -5s = 0 -9s + 4t = 12 + 0 -9s + 4t = 12 Add '-4t' to each side of the equation. -9s + 4t + -4t = 12 + -4t Combine like terms: 4t + -4t = 0 -9s + 0 = 12 + -4t -9s = 12 + -4t Divide each side by '-9'. s = -1.333333333 + 0.4444444444t Simplifying s = -1.333333333 + 0.4444444444t
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