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Simplifying 2(3T + -8) + -14 = 10 Reorder the terms: 2(-8 + 3T) + -14 = 10 (-8 * 2 + 3T * 2) + -14 = 10 (-16 + 6T) + -14 = 10 Reorder the terms: -16 + -14 + 6T = 10 Combine like terms: -16 + -14 = -30 -30 + 6T = 10 Solving -30 + 6T = 10 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6T = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 6T = 10 + 30 6T = 10 + 30 Combine like terms: 10 + 30 = 40 6T = 40 Divide each side by '6'. T = 6.666666667 Simplifying T = 6.666666667
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