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Simplifying 2(t + 1) + -4t = 8 Reorder the terms: 2(1 + t) + -4t = 8 (1 * 2 + t * 2) + -4t = 8 (2 + 2t) + -4t = 8 Combine like terms: 2t + -4t = -2t 2 + -2t = 8 Solving 2 + -2t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2t = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -2t = 8 + -2 -2t = 8 + -2 Combine like terms: 8 + -2 = 6 -2t = 6 Divide each side by '-2'. t = -3 Simplifying t = -3
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