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Simplifying 6(T + -3) = 2(9 + -2T) Reorder the terms: 6(-3 + T) = 2(9 + -2T) (-3 * 6 + T * 6) = 2(9 + -2T) (-18 + 6T) = 2(9 + -2T) -18 + 6T = (9 * 2 + -2T * 2) -18 + 6T = (18 + -4T) Solving -18 + 6T = 18 + -4T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '4T' to each side of the equation. -18 + 6T + 4T = 18 + -4T + 4T Combine like terms: 6T + 4T = 10T -18 + 10T = 18 + -4T + 4T Combine like terms: -4T + 4T = 0 -18 + 10T = 18 + 0 -18 + 10T = 18 Add '18' to each side of the equation. -18 + 18 + 10T = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 10T = 18 + 18 10T = 18 + 18 Combine like terms: 18 + 18 = 36 10T = 36 Divide each side by '10'. T = 3.6 Simplifying T = 3.6
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