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Simplifying -3(T + -1) + 7T = 8T + -4 Reorder the terms: -3(-1 + T) + 7T = 8T + -4 (-1 * -3 + T * -3) + 7T = 8T + -4 (3 + -3T) + 7T = 8T + -4 Combine like terms: -3T + 7T = 4T 3 + 4T = 8T + -4 Reorder the terms: 3 + 4T = -4 + 8T Solving 3 + 4T = -4 + 8T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-8T' to each side of the equation. 3 + 4T + -8T = -4 + 8T + -8T Combine like terms: 4T + -8T = -4T 3 + -4T = -4 + 8T + -8T Combine like terms: 8T + -8T = 0 3 + -4T = -4 + 0 3 + -4T = -4 Add '-3' to each side of the equation. 3 + -3 + -4T = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -4T = -4 + -3 -4T = -4 + -3 Combine like terms: -4 + -3 = -7 -4T = -7 Divide each side by '-4'. T = 1.75 Simplifying T = 1.75
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