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Simplifying 5t + -1(2T + 14) = 3T + -14 Reorder the terms: 5t + -1(14 + 2T) = 3T + -14 5t + (14 * -1 + 2T * -1) = 3T + -14 5t + (-14 + -2T) = 3T + -14 Reorder the terms: -14 + -2T + 5t = 3T + -14 Reorder the terms: -14 + -2T + 5t = -14 + 3T Add '14' to each side of the equation. -14 + -2T + 14 + 5t = -14 + 14 + 3T Reorder the terms: -14 + 14 + -2T + 5t = -14 + 14 + 3T Combine like terms: -14 + 14 = 0 0 + -2T + 5t = -14 + 14 + 3T -2T + 5t = -14 + 14 + 3T Combine like terms: -14 + 14 = 0 -2T + 5t = 0 + 3T -2T + 5t = 3T Solving -2T + 5t = 3T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-3T' to each side of the equation. -2T + -3T + 5t = 3T + -3T Combine like terms: -2T + -3T = -5T -5T + 5t = 3T + -3T Combine like terms: 3T + -3T = 0 -5T + 5t = 0 Add '-5t' to each side of the equation. -5T + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 -5T + 0 = 0 + -5t -5T = 0 + -5t Remove the zero: -5T = -5t Divide each side by '-5'. T = t Simplifying T = t
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