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Simplifying 142.7 = 2.4t + 32.2 Reorder the terms: 142.7 = 32.2 + 2.4t Solving 142.7 = 32.2 + 2.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.4t' to each side of the equation. 142.7 + -2.4t = 32.2 + 2.4t + -2.4t Combine like terms: 2.4t + -2.4t = 0.0 142.7 + -2.4t = 32.2 + 0.0 142.7 + -2.4t = 32.2 Add '-142.7' to each side of the equation. 142.7 + -142.7 + -2.4t = 32.2 + -142.7 Combine like terms: 142.7 + -142.7 = 0.0 0.0 + -2.4t = 32.2 + -142.7 -2.4t = 32.2 + -142.7 Combine like terms: 32.2 + -142.7 = -110.5 -2.4t = -110.5 Divide each side by '-2.4'. t = 46.04166667 Simplifying t = 46.04166667
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