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Simplifying 9(t + -2) + 5T = 7(2t + 3) + -13 Reorder the terms: 9(-2 + t) + 5T = 7(2t + 3) + -13 (-2 * 9 + t * 9) + 5T = 7(2t + 3) + -13 (-18 + 9t) + 5T = 7(2t + 3) + -13 Reorder the terms: -18 + 5T + 9t = 7(2t + 3) + -13 Reorder the terms: -18 + 5T + 9t = 7(3 + 2t) + -13 -18 + 5T + 9t = (3 * 7 + 2t * 7) + -13 -18 + 5T + 9t = (21 + 14t) + -13 Reorder the terms: -18 + 5T + 9t = 21 + -13 + 14t Combine like terms: 21 + -13 = 8 -18 + 5T + 9t = 8 + 14t Solving -18 + 5T + 9t = 8 + 14t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 5T + 18 + 9t = 8 + 18 + 14t Reorder the terms: -18 + 18 + 5T + 9t = 8 + 18 + 14t Combine like terms: -18 + 18 = 0 0 + 5T + 9t = 8 + 18 + 14t 5T + 9t = 8 + 18 + 14t Combine like terms: 8 + 18 = 26 5T + 9t = 26 + 14t Add '-9t' to each side of the equation. 5T + 9t + -9t = 26 + 14t + -9t Combine like terms: 9t + -9t = 0 5T + 0 = 26 + 14t + -9t 5T = 26 + 14t + -9t Combine like terms: 14t + -9t = 5t 5T = 26 + 5t Divide each side by '5'. T = 5.2 + t Simplifying T = 5.2 + t
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