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Simplifying 3.8t + -82 = 6.1t + -95.8 Reorder the terms: -82 + 3.8t = 6.1t + -95.8 Reorder the terms: -82 + 3.8t = -95.8 + 6.1t Solving -82 + 3.8t = -95.8 + 6.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.1t' to each side of the equation. -82 + 3.8t + -6.1t = -95.8 + 6.1t + -6.1t Combine like terms: 3.8t + -6.1t = -2.3t -82 + -2.3t = -95.8 + 6.1t + -6.1t Combine like terms: 6.1t + -6.1t = 0.0 -82 + -2.3t = -95.8 + 0.0 -82 + -2.3t = -95.8 Add '82' to each side of the equation. -82 + 82 + -2.3t = -95.8 + 82 Combine like terms: -82 + 82 = 0 0 + -2.3t = -95.8 + 82 -2.3t = -95.8 + 82 Combine like terms: -95.8 + 82 = -13.8 -2.3t = -13.8 Divide each side by '-2.3'. t = 6 Simplifying t = 6
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