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Simplifying 2(t + 2) + 5T = 6T + 11 Reorder the terms: 2(2 + t) + 5T = 6T + 11 (2 * 2 + t * 2) + 5T = 6T + 11 (4 + 2t) + 5T = 6T + 11 Reorder the terms: 4 + 5T + 2t = 6T + 11 Reorder the terms: 4 + 5T + 2t = 11 + 6T Solving 4 + 5T + 2t = 11 + 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. 4 + 5T + -6T + 2t = 11 + 6T + -6T Combine like terms: 5T + -6T = -1T 4 + -1T + 2t = 11 + 6T + -6T Combine like terms: 6T + -6T = 0 4 + -1T + 2t = 11 + 0 4 + -1T + 2t = 11 Add '-4' to each side of the equation. 4 + -1T + -4 + 2t = 11 + -4 Reorder the terms: 4 + -4 + -1T + 2t = 11 + -4 Combine like terms: 4 + -4 = 0 0 + -1T + 2t = 11 + -4 -1T + 2t = 11 + -4 Combine like terms: 11 + -4 = 7 -1T + 2t = 7 Add '-2t' to each side of the equation. -1T + 2t + -2t = 7 + -2t Combine like terms: 2t + -2t = 0 -1T + 0 = 7 + -2t -1T = 7 + -2t Divide each side by '-1'. T = -7 + 2t Simplifying T = -7 + 2t
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