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Simplifying 7st + 4t(t + s + 4) + -9t = 0 Reorder the terms: 7st + 4t(4 + s + t) + -9t = 0 7st + (4 * 4t + s * 4t + t * 4t) + -9t = 0 Reorder the terms: 7st + (4st + 16t + 4t2) + -9t = 0 7st + (4st + 16t + 4t2) + -9t = 0 Reorder the terms: 7st + 4st + 16t + -9t + 4t2 = 0 Combine like terms: 7st + 4st = 11st 11st + 16t + -9t + 4t2 = 0 Combine like terms: 16t + -9t = 7t 11st + 7t + 4t2 = 0 Solving 11st + 7t + 4t2 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-7t' to each side of the equation. 11st + 7t + -7t + 4t2 = 0 + -7t Combine like terms: 7t + -7t = 0 11st + 0 + 4t2 = 0 + -7t 11st + 4t2 = 0 + -7t Remove the zero: 11st + 4t2 = -7t Add '-4t2' to each side of the equation. 11st + 4t2 + -4t2 = -7t + -4t2 Combine like terms: 4t2 + -4t2 = 0 11st + 0 = -7t + -4t2 11st = -7t + -4t2 Divide each side by '11t'. s = -0.6363636364 + -0.3636363636t Simplifying s = -0.6363636364 + -0.3636363636t
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