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Simplifying T + -3(t + 1.333333333) = 2t + 3 Reorder the terms: T + -3(1.333333333 + t) = 2t + 3 T + (1.333333333 * -3 + t * -3) = 2t + 3 T + (-3.999999999 + -3t) = 2t + 3 Reorder the terms: -3.999999999 + T + -3t = 2t + 3 Reorder the terms: -3.999999999 + T + -3t = 3 + 2t Solving -3.999999999 + T + -3t = 3 + 2t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '3.999999999' to each side of the equation. -3.999999999 + T + 3.999999999 + -3t = 3 + 3.999999999 + 2t Reorder the terms: -3.999999999 + 3.999999999 + T + -3t = 3 + 3.999999999 + 2t Combine like terms: -3.999999999 + 3.999999999 = 0.000000000 0.000000000 + T + -3t = 3 + 3.999999999 + 2t T + -3t = 3 + 3.999999999 + 2t Combine like terms: 3 + 3.999999999 = 6.999999999 T + -3t = 6.999999999 + 2t Add '3t' to each side of the equation. T + -3t + 3t = 6.999999999 + 2t + 3t Combine like terms: -3t + 3t = 0 T + 0 = 6.999999999 + 2t + 3t T = 6.999999999 + 2t + 3t Combine like terms: 2t + 3t = 5t T = 6.999999999 + 5t Simplifying T = 6.999999999 + 5t
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