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Simplifying 2(1 + -1t) = -3(t + 3) + 1 (1 * 2 + -1t * 2) = -3(t + 3) + 1 (2 + -2t) = -3(t + 3) + 1 Reorder the terms: 2 + -2t = -3(3 + t) + 1 2 + -2t = (3 * -3 + t * -3) + 1 2 + -2t = (-9 + -3t) + 1 Reorder the terms: 2 + -2t = -9 + 1 + -3t Combine like terms: -9 + 1 = -8 2 + -2t = -8 + -3t Solving 2 + -2t = -8 + -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 = -8 + -3t + 3t Combine like terms: -2t + 3t = 1t 2 + 1t = -8 + -3t + 3t Combine like terms: -3t + 3t = 0 2 + 1t = -8 + 0 2 + 1t = -8 Add '-2' to each side of the equation. 2 + -2 + 1t = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = -8 + -2 1t = -8 + -2 Combine like terms: -8 + -2 = -10 1t = -10 Divide each side by '1'. t = -10 Simplifying t = -10
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