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Simplifying 4T = 8 + -6(2r + -1) + -3(4T + -3) + -7(T + -2) Reorder the terms: 4T = 8 + -6(-1 + 2r) + -3(4T + -3) + -7(T + -2) 4T = 8 + (-1 * -6 + 2r * -6) + -3(4T + -3) + -7(T + -2) 4T = 8 + (6 + -12r) + -3(4T + -3) + -7(T + -2) Reorder the terms: 4T = 8 + 6 + -12r + -3(-3 + 4T) + -7(T + -2) 4T = 8 + 6 + -12r + (-3 * -3 + 4T * -3) + -7(T + -2) 4T = 8 + 6 + -12r + (9 + -12T) + -7(T + -2) Reorder the terms: 4T = 8 + 6 + -12r + 9 + -12T + -7(-2 + T) 4T = 8 + 6 + -12r + 9 + -12T + (-2 * -7 + T * -7) 4T = 8 + 6 + -12r + 9 + -12T + (14 + -7T) Reorder the terms: 4T = 8 + 6 + 9 + 14 + -12T + -7T + -12r Combine like terms: 8 + 6 = 14 4T = 14 + 9 + 14 + -12T + -7T + -12r Combine like terms: 14 + 9 = 23 4T = 23 + 14 + -12T + -7T + -12r Combine like terms: 23 + 14 = 37 4T = 37 + -12T + -7T + -12r Combine like terms: -12T + -7T = -19T 4T = 37 + -19T + -12r Solving 4T = 37 + -19T + -12r Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '19T' to each side of the equation. 4T + 19T = 37 + -19T + 19T + -12r Combine like terms: 4T + 19T = 23T 23T = 37 + -19T + 19T + -12r Combine like terms: -19T + 19T = 0 23T = 37 + 0 + -12r 23T = 37 + -12r Divide each side by '23'. T = 1.608695652 + -0.5217391304r Simplifying T = 1.608695652 + -0.5217391304r
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