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Simplifying 6T + -5T + -8 = 1 + -10 + 2T Reorder the terms: -8 + 6T + -5T = 1 + -10 + 2T Combine like terms: 6T + -5T = 1T -8 + 1T = 1 + -10 + 2T Combine like terms: 1 + -10 = -9 -8 + 1T = -9 + 2T Solving -8 + 1T = -9 + 2T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-2T' to each side of the equation. -8 + 1T + -2T = -9 + 2T + -2T Combine like terms: 1T + -2T = -1T -8 + -1T = -9 + 2T + -2T Combine like terms: 2T + -2T = 0 -8 + -1T = -9 + 0 -8 + -1T = -9 Add '8' to each side of the equation. -8 + 8 + -1T = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -1T = -9 + 8 -1T = -9 + 8 Combine like terms: -9 + 8 = -1 -1T = -1 Divide each side by '-1'. T = 1 Simplifying T = 1
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