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Simplifying 2(5T + -6) = 12T + 7 Reorder the terms: 2(-6 + 5T) = 12T + 7 (-6 * 2 + 5T * 2) = 12T + 7 (-12 + 10T) = 12T + 7 Reorder the terms: -12 + 10T = 7 + 12T Solving -12 + 10T = 7 + 12T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-12T' to each side of the equation. -12 + 10T + -12T = 7 + 12T + -12T Combine like terms: 10T + -12T = -2T -12 + -2T = 7 + 12T + -12T Combine like terms: 12T + -12T = 0 -12 + -2T = 7 + 0 -12 + -2T = 7 Add '12' to each side of the equation. -12 + 12 + -2T = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -2T = 7 + 12 -2T = 7 + 12 Combine like terms: 7 + 12 = 19 -2T = 19 Divide each side by '-2'. T = -9.5 Simplifying T = -9.5
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