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Simplifying -2(t + 1) = -3t + 1 Reorder the terms: -2(1 + t) = -3t + 1 (1 * -2 + t * -2) = -3t + 1 (-2 + -2t) = -3t + 1 Reorder the terms: -2 + -2t = 1 + -3t Solving -2 + -2t = 1 + -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. -2 + -2t + 3t = 1 + -3t + 3t Combine like terms: -2t + 3t = 1t -2 + 1t = 1 + -3t + 3t Combine like terms: -3t + 3t = 0 -2 + 1t = 1 + 0 -2 + 1t = 1 Add '2' to each side of the equation. -2 + 2 + 1t = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 1t = 1 + 2 1t = 1 + 2 Combine like terms: 1 + 2 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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