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Simplifying T + -1(4s + 7) + -1(s + -1t) = 0 Reorder the terms: T + -1(7 + 4s) + -1(s + -1t) = 0 T + (7 * -1 + 4s * -1) + -1(s + -1t) = 0 T + (-7 + -4s) + -1(s + -1t) = 0 T + -7 + -4s + (s * -1 + -1t * -1) = 0 T + -7 + -4s + (-1s + 1t) = 0 Reorder the terms: -7 + T + -4s + -1s + 1t = 0 Combine like terms: -4s + -1s = -5s -7 + T + -5s + 1t = 0 Solving -7 + T + -5s + 1t = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '7' to each side of the equation. -7 + T + -5s + 7 + 1t = 0 + 7 Reorder the terms: -7 + 7 + T + -5s + 1t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + T + -5s + 1t = 0 + 7 T + -5s + 1t = 0 + 7 Combine like terms: 0 + 7 = 7 T + -5s + 1t = 7 Add '5s' to each side of the equation. T + -5s + 5s + 1t = 7 + 5s Combine like terms: -5s + 5s = 0 T + 0 + 1t = 7 + 5s T + 1t = 7 + 5s Add '-1t' to each side of the equation. T + 1t + -1t = 7 + 5s + -1t Combine like terms: 1t + -1t = 0 T + 0 = 7 + 5s + -1t T = 7 + 5s + -1t Simplifying T = 7 + 5s + -1t
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