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Simplifying 2(t + 1) = 4t + 13 Reorder the terms: 2(1 + t) = 4t + 13 (1 * 2 + t * 2) = 4t + 13 (2 + 2t) = 4t + 13 Reorder the terms: 2 + 2t = 13 + 4t Solving 2 + 2t = 13 + 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. 2 + 2t + -4t = 13 + 4t + -4t Combine like terms: 2t + -4t = -2t 2 + -2t = 13 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + -2t = 13 + 0 2 + -2t = 13 Add '-2' to each side of the equation. 2 + -2 + -2t = 13 + -2 Combine like terms: 2 + -2 = 0 0 + -2t = 13 + -2 -2t = 13 + -2 Combine like terms: 13 + -2 = 11 -2t = 11 Divide each side by '-2'. t = -5.5 Simplifying t = -5.5
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