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Simplifying 2 + -5(2 + -1t) = 3(t + -2) 2 + (2 * -5 + -1t * -5) = 3(t + -2) 2 + (-10 + 5t) = 3(t + -2) Combine like terms: 2 + -10 = -8 -8 + 5t = 3(t + -2) Reorder the terms: -8 + 5t = 3(-2 + t) -8 + 5t = (-2 * 3 + t * 3) -8 + 5t = (-6 + 3t) Solving -8 + 5t = -6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -8 + 5t + -3t = -6 + 3t + -3t Combine like terms: 5t + -3t = 2t -8 + 2t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 2t = -6 + 0 -8 + 2t = -6 Add '8' to each side of the equation. -8 + 8 + 2t = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 2t = -6 + 8 2t = -6 + 8 Combine like terms: -6 + 8 = 2 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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