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Simplifying 3t + -8 = 4 + (t + 5) Reorder the terms: -8 + 3t = 4 + (t + 5) Reorder the terms: -8 + 3t = 4 + (5 + t) Remove parenthesis around (5 + t) -8 + 3t = 4 + 5 + t Combine like terms: 4 + 5 = 9 -8 + 3t = 9 + t Solving -8 + 3t = 9 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -8 + 3t + -1t = 9 + t + -1t Combine like terms: 3t + -1t = 2t -8 + 2t = 9 + t + -1t Combine like terms: t + -1t = 0 -8 + 2t = 9 + 0 -8 + 2t = 9 Add '8' to each side of the equation. -8 + 8 + 2t = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 2t = 9 + 8 2t = 9 + 8 Combine like terms: 9 + 8 = 17 2t = 17 Divide each side by '2'. t = 8.5 Simplifying t = 8.5
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