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Simplifying 5(T + 0.5) = 4(T) Reorder the terms: 5(0.5 + T) = 4(T) (0.5 * 5 + T * 5) = 4(T) (2.5 + 5T) = 4(T) Solving 2.5 + 5T = 4T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-4T' to each side of the equation. 2.5 + 5T + -4T = 4T + -4T Combine like terms: 5T + -4T = 1T 2.5 + 1T = 4T + -4T Combine like terms: 4T + -4T = 0 2.5 + 1T = 0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1T = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1T = 0 + -2.5 1T = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 1T = -2.5 Divide each side by '1'. T = -2.5 Simplifying T = -2.5
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