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Simplifying 5 + -1(T + 3) = -1 + 2(t + -3) * t Reorder the terms: 5 + -1(3 + T) = -1 + 2(t + -3) * t 5 + (3 * -1 + T * -1) = -1 + 2(t + -3) * t 5 + (-3 + -1T) = -1 + 2(t + -3) * t Combine like terms: 5 + -3 = 2 2 + -1T = -1 + 2(t + -3) * t Reorder the terms: 2 + -1T = -1 + 2(-3 + t) * t Reorder the terms for easier multiplication: 2 + -1T = -1 + 2t(-3 + t) 2 + -1T = -1 + (-3 * 2t + t * 2t) 2 + -1T = -1 + (-6t + 2t2) Solving 2 + -1T = -1 + -6t + 2t2 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1T = -1 + -6t + -2 + 2t2 Combine like terms: 2 + -2 = 0 0 + -1T = -1 + -6t + -2 + 2t2 -1T = -1 + -6t + -2 + 2t2 Reorder the terms: -1T = -1 + -2 + -6t + 2t2 Combine like terms: -1 + -2 = -3 -1T = -3 + -6t + 2t2 Divide each side by '-1'. T = 3 + 6t + -2t2 Simplifying T = 3 + 6t + -2t2
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