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Simplifying 14.15 + -1.7t + 17.42 = -5.7t + -18.83 Reorder the terms: 14.15 + 17.42 + -1.7t = -5.7t + -18.83 Combine like terms: 14.15 + 17.42 = 31.57 31.57 + -1.7t = -5.7t + -18.83 Reorder the terms: 31.57 + -1.7t = -18.83 + -5.7t Solving 31.57 + -1.7t = -18.83 + -5.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.7t' to each side of the equation. 31.57 + -1.7t + 5.7t = -18.83 + -5.7t + 5.7t Combine like terms: -1.7t + 5.7t = 4t 31.57 + 4t = -18.83 + -5.7t + 5.7t Combine like terms: -5.7t + 5.7t = 0.0 31.57 + 4t = -18.83 + 0.0 31.57 + 4t = -18.83 Add '-31.57' to each side of the equation. 31.57 + -31.57 + 4t = -18.83 + -31.57 Combine like terms: 31.57 + -31.57 = 0.00 0.00 + 4t = -18.83 + -31.57 4t = -18.83 + -31.57 Combine like terms: -18.83 + -31.57 = -50.4 4t = -50.4 Divide each side by '4'. t = -12.6 Simplifying t = -12.6
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