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Simplifying 0.5t + 1.6 = t + 0.1 Reorder the terms: 1.6 + 0.5t = t + 0.1 Reorder the terms: 1.6 + 0.5t = 0.1 + t Solving 1.6 + 0.5t = 0.1 + 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. 1.6 + 0.5t + -1t = 0.1 + t + -1t Combine like terms: 0.5t + -1t = -0.5t 1.6 + -0.5t = 0.1 + t + -1t Combine like terms: t + -1t = 0 1.6 + -0.5t = 0.1 + 0 1.6 + -0.5t = 0.1 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -0.5t = 0.1 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.5t = 0.1 + -1.6 -0.5t = 0.1 + -1.6 Combine like terms: 0.1 + -1.6 = -1.5 -0.5t = -1.5 Divide each side by '-0.5'. t = 3 Simplifying t = 3
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