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Simplifying -5.4t + -5.2 = 0.1t + 5.8 Reorder the terms: -5.2 + -5.4t = 0.1t + 5.8 Reorder the terms: -5.2 + -5.4t = 5.8 + 0.1t Solving -5.2 + -5.4t = 5.8 + 0.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.1t' to each side of the equation. -5.2 + -5.4t + -0.1t = 5.8 + 0.1t + -0.1t Combine like terms: -5.4t + -0.1t = -5.5t -5.2 + -5.5t = 5.8 + 0.1t + -0.1t Combine like terms: 0.1t + -0.1t = 0.0 -5.2 + -5.5t = 5.8 + 0.0 -5.2 + -5.5t = 5.8 Add '5.2' to each side of the equation. -5.2 + 5.2 + -5.5t = 5.8 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + -5.5t = 5.8 + 5.2 -5.5t = 5.8 + 5.2 Combine like terms: 5.8 + 5.2 = 11 -5.5t = 11 Divide each side by '-5.5'. t = -2 Simplifying t = -2
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