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Simplifying (T + 1) * 2 + (t + -8) * 2 = 0 Reorder the terms: (1 + T) * 2 + (t + -8) * 2 = 0 Reorder the terms for easier multiplication: 2(1 + T) + (t + -8) * 2 = 0 (1 * 2 + T * 2) + (t + -8) * 2 = 0 (2 + 2T) + (t + -8) * 2 = 0 Reorder the terms: 2 + 2T + (-8 + t) * 2 = 0 Reorder the terms for easier multiplication: 2 + 2T + 2(-8 + t) = 0 2 + 2T + (-8 * 2 + t * 2) = 0 2 + 2T + (-16 + 2t) = 0 Reorder the terms: 2 + -16 + 2T + 2t = 0 Combine like terms: 2 + -16 = -14 -14 + 2T + 2t = 0 Solving -14 + 2T + 2t = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 2T + 14 + 2t = 0 + 14 Reorder the terms: -14 + 14 + 2T + 2t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2T + 2t = 0 + 14 2T + 2t = 0 + 14 Combine like terms: 0 + 14 = 14 2T + 2t = 14 Add '-2t' to each side of the equation. 2T + 2t + -2t = 14 + -2t Combine like terms: 2t + -2t = 0 2T + 0 = 14 + -2t 2T = 14 + -2t Divide each side by '2'. T = 7 + -1t Simplifying T = 7 + -1t
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