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Simplifying t = 2 + -2[2t + -3(1 + -3)] Combine like terms: 1 + -3 = -2 t = 2 + -2[2t + -3(-2)] Multiply -3 * -2 t = 2 + -2[2t + 6] Reorder the terms: t = 2 + -2[6 + 2t] t = 2 + [6 * -2 + 2t * -2] t = 2 + [-12 + -4t] Combine like terms: 2 + -12 = -10 t = -10 + -4t Solving t = -10 + -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. t + 4t = -10 + -4t + 4t Combine like terms: t + 4t = 5t 5t = -10 + -4t + 4t Combine like terms: -4t + 4t = 0 5t = -10 + 0 5t = -10 Divide each side by '5'. t = -2 Simplifying t = -2
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