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Simplifying 8 = 2(t + 1) + 4 Reorder the terms: 8 = 2(1 + t) + 4 8 = (1 * 2 + t * 2) + 4 8 = (2 + 2t) + 4 Reorder the terms: 8 = 2 + 4 + 2t Combine like terms: 2 + 4 = 6 8 = 6 + 2t Solving 8 = 6 + 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. 8 + -2t = 6 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + -2t = 6 + 0 8 + -2t = 6 Add '-8' to each side of the equation. 8 + -8 + -2t = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = 6 + -8 -2t = 6 + -8 Combine like terms: 6 + -8 = -2 -2t = -2 Divide each side by '-2'. t = 1 Simplifying t = 1
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