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Simplifying 4 + -3[3t + -1(-2 + -4s + 2t)] = 1 4 + -3[3t + (-2 * -1 + -4s * -1 + 2t * -1)] = 1 4 + -3[3t + (2 + 4s + -2t)] = 1 Reorder the terms: 4 + -3[2 + 4s + 3t + -2t] = 1 Combine like terms: 3t + -2t = 1t 4 + -3[2 + 4s + 1t] = 1 4 + [2 * -3 + 4s * -3 + 1t * -3] = 1 4 + [-6 + -12s + -3t] = 1 Combine like terms: 4 + -6 = -2 -2 + -12s + -3t = 1 Solving -2 + -12s + -3t = 1 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -12s + 2 + -3t = 1 + 2 Reorder the terms: -2 + 2 + -12s + -3t = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -12s + -3t = 1 + 2 -12s + -3t = 1 + 2 Combine like terms: 1 + 2 = 3 -12s + -3t = 3 Add '3t' to each side of the equation. -12s + -3t + 3t = 3 + 3t Combine like terms: -3t + 3t = 0 -12s + 0 = 3 + 3t -12s = 3 + 3t Divide each side by '-12'. s = -0.25 + -0.25t Simplifying s = -0.25 + -0.25t
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