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Simplifying 11.6t + 7.61 + 15.88 = 10.1t + -1.41 Reorder the terms: 7.61 + 15.88 + 11.6t = 10.1t + -1.41 Combine like terms: 7.61 + 15.88 = 23.49 23.49 + 11.6t = 10.1t + -1.41 Reorder the terms: 23.49 + 11.6t = -1.41 + 10.1t Solving 23.49 + 11.6t = -1.41 + 10.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10.1t' to each side of the equation. 23.49 + 11.6t + -10.1t = -1.41 + 10.1t + -10.1t Combine like terms: 11.6t + -10.1t = 1.5t 23.49 + 1.5t = -1.41 + 10.1t + -10.1t Combine like terms: 10.1t + -10.1t = 0.0 23.49 + 1.5t = -1.41 + 0.0 23.49 + 1.5t = -1.41 Add '-23.49' to each side of the equation. 23.49 + -23.49 + 1.5t = -1.41 + -23.49 Combine like terms: 23.49 + -23.49 = 0.00 0.00 + 1.5t = -1.41 + -23.49 1.5t = -1.41 + -23.49 Combine like terms: -1.41 + -23.49 = -24.9 1.5t = -24.9 Divide each side by '1.5'. t = -16.6 Simplifying t = -16.6
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