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Simplifying 6.1t + 7.88 + -8.1t = -11.32 + -3.6t Reorder the terms: 7.88 + 6.1t + -8.1t = -11.32 + -3.6t Combine like terms: 6.1t + -8.1t = -2t 7.88 + -2t = -11.32 + -3.6t Solving 7.88 + -2t = -11.32 + -3.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.6t' to each side of the equation. 7.88 + -2t + 3.6t = -11.32 + -3.6t + 3.6t Combine like terms: -2t + 3.6t = 1.6t 7.88 + 1.6t = -11.32 + -3.6t + 3.6t Combine like terms: -3.6t + 3.6t = 0.0 7.88 + 1.6t = -11.32 + 0.0 7.88 + 1.6t = -11.32 Add '-7.88' to each side of the equation. 7.88 + -7.88 + 1.6t = -11.32 + -7.88 Combine like terms: 7.88 + -7.88 = 0.00 0.00 + 1.6t = -11.32 + -7.88 1.6t = -11.32 + -7.88 Combine like terms: -11.32 + -7.88 = -19.2 1.6t = -19.2 Divide each side by '1.6'. t = -12 Simplifying t = -12
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