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Simplifying T + -5.6 + -2(9.8 + -1t) = 7t + -18(0.1 + -1t) T + -5.6 + (9.8 * -2 + -1t * -2) = 7t + -18(0.1 + -1t) T + -5.6 + (-19.6 + 2t) = 7t + -18(0.1 + -1t) Reorder the terms: -5.6 + -19.6 + T + 2t = 7t + -18(0.1 + -1t) Combine like terms: -5.6 + -19.6 = -25.2 -25.2 + T + 2t = 7t + -18(0.1 + -1t) -25.2 + T + 2t = 7t + (0.1 * -18 + -1t * -18) -25.2 + T + 2t = 7t + (-1.8 + 18t) Reorder the terms: -25.2 + T + 2t = -1.8 + 7t + 18t Combine like terms: 7t + 18t = 25t -25.2 + T + 2t = -1.8 + 25t Solving -25.2 + T + 2t = -1.8 + 25t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '25.2' to each side of the equation. -25.2 + T + 25.2 + 2t = -1.8 + 25.2 + 25t Reorder the terms: -25.2 + 25.2 + T + 2t = -1.8 + 25.2 + 25t Combine like terms: -25.2 + 25.2 = 0.0 0.0 + T + 2t = -1.8 + 25.2 + 25t T + 2t = -1.8 + 25.2 + 25t Combine like terms: -1.8 + 25.2 = 23.4 T + 2t = 23.4 + 25t Add '-2t' to each side of the equation. T + 2t + -2t = 23.4 + 25t + -2t Combine like terms: 2t + -2t = 0 T + 0 = 23.4 + 25t + -2t T = 23.4 + 25t + -2t Combine like terms: 25t + -2t = 23t T = 23.4 + 23t Simplifying T = 23.4 + 23t
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