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Simplifying 3 + 5(s + -4t) = 8s + -32t 3 + (s * 5 + -4t * 5) = 8s + -32t 3 + (5s + -20t) = 8s + -32t Solving 3 + 5s + -20t = 8s + -32t Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-8s' to each side of the equation. 3 + 5s + -8s + -20t = 8s + -8s + -32t Combine like terms: 5s + -8s = -3s 3 + -3s + -20t = 8s + -8s + -32t Combine like terms: 8s + -8s = 0 3 + -3s + -20t = 0 + -32t 3 + -3s + -20t = -32t Add '-3' to each side of the equation. 3 + -3s + -3 + -20t = -3 + -32t Reorder the terms: 3 + -3 + -3s + -20t = -3 + -32t Combine like terms: 3 + -3 = 0 0 + -3s + -20t = -3 + -32t -3s + -20t = -3 + -32t Add '20t' to each side of the equation. -3s + -20t + 20t = -3 + -32t + 20t Combine like terms: -20t + 20t = 0 -3s + 0 = -3 + -32t + 20t -3s = -3 + -32t + 20t Combine like terms: -32t + 20t = -12t -3s = -3 + -12t Divide each side by '-3'. s = 1 + 4t Simplifying s = 1 + 4t
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