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Simplifying t = 2 + -2[2t + -3(1 + -5)] Combine like terms: 1 + -5 = -4 t = 2 + -2[2t + -3(-4)] Multiply -3 * -4 t = 2 + -2[2t + 12] Reorder the terms: t = 2 + -2[12 + 2t] t = 2 + [12 * -2 + 2t * -2] t = 2 + [-24 + -4t] Combine like terms: 2 + -24 = -22 t = -22 + -4t Solving t = -22 + -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 = -22 + -4t + 4t Combine like terms: t + 4t = 5t 5t = -22 + -4t + 4t Combine like terms: -4t + 4t = 0 5t = -22 + 0 5t = -22 Divide each side by '5'. t = -4.4 Simplifying t = -4.4
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