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Simplifying 2(T + -6) + 6T = 4(2t + 4) + -12 Reorder the terms: 2(-6 + T) + 6T = 4(2t + 4) + -12 (-6 * 2 + T * 2) + 6T = 4(2t + 4) + -12 (-12 + 2T) + 6T = 4(2t + 4) + -12 Combine like terms: 2T + 6T = 8T -12 + 8T = 4(2t + 4) + -12 Reorder the terms: -12 + 8T = 4(4 + 2t) + -12 -12 + 8T = (4 * 4 + 2t * 4) + -12 -12 + 8T = (16 + 8t) + -12 Reorder the terms: -12 + 8T = 16 + -12 + 8t Combine like terms: 16 + -12 = 4 -12 + 8T = 4 + 8t Solving -12 + 8T = 4 + 8t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8T = 4 + 12 + 8t Combine like terms: -12 + 12 = 0 0 + 8T = 4 + 12 + 8t 8T = 4 + 12 + 8t Combine like terms: 4 + 12 = 16 8T = 16 + 8t Divide each side by '8'. T = 2 + t Simplifying T = 2 + t
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