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Simplifying 7(T + -6) + 7T = 7(2t + 5) + -13 Reorder the terms: 7(-6 + T) + 7T = 7(2t + 5) + -13 (-6 * 7 + T * 7) + 7T = 7(2t + 5) + -13 (-42 + 7T) + 7T = 7(2t + 5) + -13 Combine like terms: 7T + 7T = 14T -42 + 14T = 7(2t + 5) + -13 Reorder the terms: -42 + 14T = 7(5 + 2t) + -13 -42 + 14T = (5 * 7 + 2t * 7) + -13 -42 + 14T = (35 + 14t) + -13 Reorder the terms: -42 + 14T = 35 + -13 + 14t Combine like terms: 35 + -13 = 22 -42 + 14T = 22 + 14t Solving -42 + 14T = 22 + 14t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 14T = 22 + 42 + 14t Combine like terms: -42 + 42 = 0 0 + 14T = 22 + 42 + 14t 14T = 22 + 42 + 14t Combine like terms: 22 + 42 = 64 14T = 64 + 14t Divide each side by '14'. T = 4.571428571 + t Simplifying T = 4.571428571 + t
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