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Simplifying 5(5 + -1T) + -1(4 + -3T) = 16 (5 * 5 + -1T * 5) + -1(4 + -3T) = 16 (25 + -5T) + -1(4 + -3T) = 16 25 + -5T + (4 * -1 + -3T * -1) = 16 25 + -5T + (-4 + 3T) = 16 Reorder the terms: 25 + -4 + -5T + 3T = 16 Combine like terms: 25 + -4 = 21 21 + -5T + 3T = 16 Combine like terms: -5T + 3T = -2T 21 + -2T = 16 Solving 21 + -2T = 16 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2T = 16 + -21 Combine like terms: 21 + -21 = 0 0 + -2T = 16 + -21 -2T = 16 + -21 Combine like terms: 16 + -21 = -5 -2T = -5 Divide each side by '-2'. T = 2.5 Simplifying T = 2.5
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