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Simplifying 14t + -1(6s + 5) + -2(t + s) = 0 Reorder the terms: 14t + -1(5 + 6s) + -2(t + s) = 0 14t + (5 * -1 + 6s * -1) + -2(t + s) = 0 14t + (-5 + -6s) + -2(t + s) = 0 Reorder the terms: 14t + -5 + -6s + -2(s + t) = 0 14t + -5 + -6s + (s * -2 + t * -2) = 0 14t + -5 + -6s + (-2s + -2t) = 0 Reorder the terms: -5 + -6s + -2s + 14t + -2t = 0 Combine like terms: -6s + -2s = -8s -5 + -8s + 14t + -2t = 0 Combine like terms: 14t + -2t = 12t -5 + -8s + 12t = 0 Solving -5 + -8s + 12t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -8s + 5 + 12t = 0 + 5 Reorder the terms: -5 + 5 + -8s + 12t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8s + 12t = 0 + 5 -8s + 12t = 0 + 5 Combine like terms: 0 + 5 = 5 -8s + 12t = 5 Add '-12t' to each side of the equation. -8s + 12t + -12t = 5 + -12t Combine like terms: 12t + -12t = 0 -8s + 0 = 5 + -12t -8s = 5 + -12t Divide each side by '-8'. s = -0.625 + 1.5t Simplifying s = -0.625 + 1.5t
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