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Simplifying 2t + -4(s + 3) + -1(t + -2s) = 0 Reorder the terms: 2t + -4(3 + s) + -1(t + -2s) = 0 2t + (3 * -4 + s * -4) + -1(t + -2s) = 0 2t + (-12 + -4s) + -1(t + -2s) = 0 Reorder the terms: 2t + -12 + -4s + -1(-2s + t) = 0 2t + -12 + -4s + (-2s * -1 + t * -1) = 0 2t + -12 + -4s + (2s + -1t) = 0 Reorder the terms: -12 + -4s + 2s + 2t + -1t = 0 Combine like terms: -4s + 2s = -2s -12 + -2s + 2t + -1t = 0 Combine like terms: 2t + -1t = 1t -12 + -2s + 1t = 0 Solving -12 + -2s + 1t = 0 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 + -2s + 12 + 1t = 0 + 12 Reorder the terms: -12 + 12 + -2s + 1t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2s + 1t = 0 + 12 -2s + 1t = 0 + 12 Combine like terms: 0 + 12 = 12 -2s + 1t = 12 Add '-1t' to each side of the equation. -2s + 1t + -1t = 12 + -1t Combine like terms: 1t + -1t = 0 -2s + 0 = 12 + -1t -2s = 12 + -1t Divide each side by '-2'. s = -6 + 0.5t Simplifying s = -6 + 0.5t
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