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Simplifying 0.857t + -12 = 0.214t + 15 Reorder the terms: -12 + 0.857t = 0.214t + 15 Reorder the terms: -12 + 0.857t = 15 + 0.214t Solving -12 + 0.857t = 15 + 0.214t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.214t' to each side of the equation. -12 + 0.857t + -0.214t = 15 + 0.214t + -0.214t Combine like terms: 0.857t + -0.214t = 0.643t -12 + 0.643t = 15 + 0.214t + -0.214t Combine like terms: 0.214t + -0.214t = 0.000 -12 + 0.643t = 15 + 0.000 -12 + 0.643t = 15 Add '12' to each side of the equation. -12 + 12 + 0.643t = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 0.643t = 15 + 12 0.643t = 15 + 12 Combine like terms: 15 + 12 = 27 0.643t = 27 Divide each side by '0.643'. t = 41.99066874 Simplifying t = 41.99066874
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