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Simplifying 6t + -46 = 8t + -82 Reorder the terms: -46 + 6t = 8t + -82 Reorder the terms: -46 + 6t = -82 + 8t Solving -46 + 6t = -82 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -46 + 6t + -8t = -82 + 8t + -8t Combine like terms: 6t + -8t = -2t -46 + -2t = -82 + 8t + -8t Combine like terms: 8t + -8t = 0 -46 + -2t = -82 + 0 -46 + -2t = -82 Add '46' to each side of the equation. -46 + 46 + -2t = -82 + 46 Combine like terms: -46 + 46 = 0 0 + -2t = -82 + 46 -2t = -82 + 46 Combine like terms: -82 + 46 = -36 -2t = -36 Divide each side by '-2'. t = 18 Simplifying t = 18
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