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Simplifying -2(5 + -4s + 6t) + -5s + t = 0 (5 * -2 + -4s * -2 + 6t * -2) + -5s + t = 0 (-10 + 8s + -12t) + -5s + t = 0 Reorder the terms: -10 + 8s + -5s + -12t + t = 0 Combine like terms: 8s + -5s = 3s -10 + 3s + -12t + t = 0 Combine like terms: -12t + t = -11t -10 + 3s + -11t = 0 Solving -10 + 3s + -11t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 3s + 10 + -11t = 0 + 10 Reorder the terms: -10 + 10 + 3s + -11t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3s + -11t = 0 + 10 3s + -11t = 0 + 10 Combine like terms: 0 + 10 = 10 3s + -11t = 10 Add '11t' to each side of the equation. 3s + -11t + 11t = 10 + 11t Combine like terms: -11t + 11t = 0 3s + 0 = 10 + 11t 3s = 10 + 11t Divide each side by '3'. s = 3.333333333 + 3.666666667t Simplifying s = 3.333333333 + 3.666666667t
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