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Simplifying 4[2t + -1(3 + -1t) + s] = (-2 + 7t) 4[2t + (3 * -1 + -1t * -1) + s] = (-2 + 7t) 4[2t + (-3 + 1t) + s] = (-2 + 7t) Reorder the terms: 4[-3 + s + 2t + 1t] = (-2 + 7t) Combine like terms: 2t + 1t = 3t 4[-3 + s + 3t] = (-2 + 7t) [-3 * 4 + s * 4 + 3t * 4] = (-2 + 7t) [-12 + 4s + 12t] = (-2 + 7t) Remove parenthesis around (-2 + 7t) -12 + 4s + 12t = -2 + 7t Solving -12 + 4s + 12t = -2 + 7t Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4s + 12 + 12t = -2 + 12 + 7t Reorder the terms: -12 + 12 + 4s + 12t = -2 + 12 + 7t Combine like terms: -12 + 12 = 0 0 + 4s + 12t = -2 + 12 + 7t 4s + 12t = -2 + 12 + 7t Combine like terms: -2 + 12 = 10 4s + 12t = 10 + 7t Add '-12t' to each side of the equation. 4s + 12t + -12t = 10 + 7t + -12t Combine like terms: 12t + -12t = 0 4s + 0 = 10 + 7t + -12t 4s = 10 + 7t + -12t Combine like terms: 7t + -12t = -5t 4s = 10 + -5t Divide each side by '4'. s = 2.5 + -1.25t Simplifying s = 2.5 + -1.25t
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