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Simplifying (3t + 5) = t + -12 Reorder the terms: (5 + 3t) = t + -12 Remove parenthesis around (5 + 3t) 5 + 3t = t + -12 Reorder the terms: 5 + 3t = -12 + t Solving 5 + 3t = -12 + 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. 5 + 3t + -1t = -12 + t + -1t Combine like terms: 3t + -1t = 2t 5 + 2t = -12 + t + -1t Combine like terms: t + -1t = 0 5 + 2t = -12 + 0 5 + 2t = -12 Add '-5' to each side of the equation. 5 + -5 + 2t = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 2t = -12 + -5 2t = -12 + -5 Combine like terms: -12 + -5 = -17 2t = -17 Divide each side by '2'. t = -8.5 Simplifying t = -8.5
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