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Simplifying -3(T + -5) + 5t = 8t + -9 Reorder the terms: -3(-5 + T) + 5t = 8t + -9 (-5 * -3 + T * -3) + 5t = 8t + -9 (15 + -3T) + 5t = 8t + -9 Reorder the terms: 15 + -3T + 5t = -9 + 8t Solving 15 + -3T + 5t = -9 + 8t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -3T + -15 + 5t = -9 + -15 + 8t Reorder the terms: 15 + -15 + -3T + 5t = -9 + -15 + 8t Combine like terms: 15 + -15 = 0 0 + -3T + 5t = -9 + -15 + 8t -3T + 5t = -9 + -15 + 8t Combine like terms: -9 + -15 = -24 -3T + 5t = -24 + 8t Add '-5t' to each side of the equation. -3T + 5t + -5t = -24 + 8t + -5t Combine like terms: 5t + -5t = 0 -3T + 0 = -24 + 8t + -5t -3T = -24 + 8t + -5t Combine like terms: 8t + -5t = 3t -3T = -24 + 3t Divide each side by '-3'. T = 8 + -1t Simplifying T = 8 + -1t
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