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Simplifying 6(2 + -1T) + -1(2 + -4T) = 3 (2 * 6 + -1T * 6) + -1(2 + -4T) = 3 (12 + -6T) + -1(2 + -4T) = 3 12 + -6T + (2 * -1 + -4T * -1) = 3 12 + -6T + (-2 + 4T) = 3 Reorder the terms: 12 + -2 + -6T + 4T = 3 Combine like terms: 12 + -2 = 10 10 + -6T + 4T = 3 Combine like terms: -6T + 4T = -2T 10 + -2T = 3 Solving 10 + -2T = 3 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2T = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -2T = 3 + -10 -2T = 3 + -10 Combine like terms: 3 + -10 = -7 -2T = -7 Divide each side by '-2'. T = 3.5 Simplifying T = 3.5
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