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Simplifying 9.6t + -8.6t + 2.6 = 9.7 Reorder the terms: 2.6 + 9.6t + -8.6t = 9.7 Combine like terms: 9.6t + -8.6t = 1t 2.6 + 1t = 9.7 Solving 2.6 + 1t = 9.7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.6' to each side of the equation. 2.6 + -2.6 + 1t = 9.7 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 1t = 9.7 + -2.6 1t = 9.7 + -2.6 Combine like terms: 9.7 + -2.6 = 7.1 1t = 7.1 Divide each side by '1'. t = 7.1 Simplifying t = 7.1
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