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Simplifying 5 + -2(T + 4) = (3T + 12) Reorder the terms: 5 + -2(4 + T) = (3T + 12) 5 + (4 * -2 + T * -2) = (3T + 12) 5 + (-8 + -2T) = (3T + 12) Combine like terms: 5 + -8 = -3 -3 + -2T = (3T + 12) Reorder the terms: -3 + -2T = (12 + 3T) Remove parenthesis around (12 + 3T) -3 + -2T = 12 + 3T Solving -3 + -2T = 12 + 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. -3 + -2T + -3T = 12 + 3T + -3T Combine like terms: -2T + -3T = -5T -3 + -5T = 12 + 3T + -3T Combine like terms: 3T + -3T = 0 -3 + -5T = 12 + 0 -3 + -5T = 12 Add '3' to each side of the equation. -3 + 3 + -5T = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -5T = 12 + 3 -5T = 12 + 3 Combine like terms: 12 + 3 = 15 -5T = 15 Divide each side by '-5'. T = -3 Simplifying T = -3
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