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Simplifying 5(t + -4) + 9T = 8T + -9 Reorder the terms: 5(-4 + t) + 9T = 8T + -9 (-4 * 5 + t * 5) + 9T = 8T + -9 (-20 + 5t) + 9T = 8T + -9 Reorder the terms: -20 + 9T + 5t = 8T + -9 Reorder the terms: -20 + 9T + 5t = -9 + 8T Solving -20 + 9T + 5t = -9 + 8T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-8T' to each side of the equation. -20 + 9T + -8T + 5t = -9 + 8T + -8T Combine like terms: 9T + -8T = 1T -20 + 1T + 5t = -9 + 8T + -8T Combine like terms: 8T + -8T = 0 -20 + 1T + 5t = -9 + 0 -20 + 1T + 5t = -9 Add '20' to each side of the equation. -20 + 1T + 20 + 5t = -9 + 20 Reorder the terms: -20 + 20 + 1T + 5t = -9 + 20 Combine like terms: -20 + 20 = 0 0 + 1T + 5t = -9 + 20 1T + 5t = -9 + 20 Combine like terms: -9 + 20 = 11 1T + 5t = 11 Add '-5t' to each side of the equation. 1T + 5t + -5t = 11 + -5t Combine like terms: 5t + -5t = 0 1T + 0 = 11 + -5t 1T = 11 + -5t Divide each side by '1'. T = 11 + -5t Simplifying T = 11 + -5t
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