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