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Simplifying 5.4 = t + (6 + -0.1) Combine like terms: 6 + -0.1 = 5.9 5.4 = t + (5.9) 5.4 = t + 5.9 Reorder the terms: 5.4 = 5.9 + t Solving 5.4 = 5.9 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 5.4 + -1t = 5.9 + t + -1t Combine like terms: t + -1t = 0 5.4 + -1t = 5.9 + 0 5.4 + -1t = 5.9 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -1t = 5.9 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -1t = 5.9 + -5.4 -1t = 5.9 + -5.4 Combine like terms: 5.9 + -5.4 = 0.5 -1t = 0.5 Divide each side by '-1'. t = -0.5 Simplifying t = -0.5
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