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Simplifying -2(T + -2) + 8t = 3t + -5 Reorder the terms: -2(-2 + T) + 8t = 3t + -5 (-2 * -2 + T * -2) + 8t = 3t + -5 (4 + -2T) + 8t = 3t + -5 Reorder the terms: 4 + -2T + 8t = -5 + 3t Solving 4 + -2T + 8t = -5 + 3t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2T + -4 + 8t = -5 + -4 + 3t Reorder the terms: 4 + -4 + -2T + 8t = -5 + -4 + 3t Combine like terms: 4 + -4 = 0 0 + -2T + 8t = -5 + -4 + 3t -2T + 8t = -5 + -4 + 3t Combine like terms: -5 + -4 = -9 -2T + 8t = -9 + 3t Add '-8t' to each side of the equation. -2T + 8t + -8t = -9 + 3t + -8t Combine like terms: 8t + -8t = 0 -2T + 0 = -9 + 3t + -8t -2T = -9 + 3t + -8t Combine like terms: 3t + -8t = -5t -2T = -9 + -5t Divide each side by '-2'. T = 4.5 + 2.5t Simplifying T = 4.5 + 2.5t
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