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Simplifying 5(1 + T) = 6(2 + T) (1 * 5 + T * 5) = 6(2 + T) (5 + 5T) = 6(2 + T) 5 + 5T = (2 * 6 + T * 6) 5 + 5T = (12 + 6T) Solving 5 + 5T = 12 + 6T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-6T' to each side of the equation. 5 + 5T + -6T = 12 + 6T + -6T Combine like terms: 5T + -6T = -1T 5 + -1T = 12 + 6T + -6T Combine like terms: 6T + -6T = 0 5 + -1T = 12 + 0 5 + -1T = 12 Add '-5' to each side of the equation. 5 + -5 + -1T = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1T = 12 + -5 -1T = 12 + -5 Combine like terms: 12 + -5 = 7 -1T = 7 Divide each side by '-1'. T = -7 Simplifying T = -7
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