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Simplifying -5(t + -4) + 8T = 9T + -9 Reorder the terms: -5(-4 + t) + 8T = 9T + -9 (-4 * -5 + t * -5) + 8T = 9T + -9 (20 + -5t) + 8T = 9T + -9 Reorder the terms: 20 + 8T + -5t = 9T + -9 Reorder the terms: 20 + 8T + -5t = -9 + 9T Solving 20 + 8T + -5t = -9 + 9T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-9T' to each side of the equation. 20 + 8T + -9T + -5t = -9 + 9T + -9T Combine like terms: 8T + -9T = -1T 20 + -1T + -5t = -9 + 9T + -9T Combine like terms: 9T + -9T = 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 = -29 -1T + -5t = -29 Add '5t' to each side of the equation. -1T + -5t + 5t = -29 + 5t Combine like terms: -5t + 5t = 0 -1T + 0 = -29 + 5t -1T = -29 + 5t Divide each side by '-1'. T = 29 + -5t Simplifying T = 29 + -5t
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