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Simplifying 0.25t + 0.833 = 1.5t + 0.67 Reorder the terms: 0.833 + 0.25t = 1.5t + 0.67 Reorder the terms: 0.833 + 0.25t = 0.67 + 1.5t Solving 0.833 + 0.25t = 0.67 + 1.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5t' to each side of the equation. 0.833 + 0.25t + -1.5t = 0.67 + 1.5t + -1.5t Combine like terms: 0.25t + -1.5t = -1.25t 0.833 + -1.25t = 0.67 + 1.5t + -1.5t Combine like terms: 1.5t + -1.5t = 0.0 0.833 + -1.25t = 0.67 + 0.0 0.833 + -1.25t = 0.67 Add '-0.833' to each side of the equation. 0.833 + -0.833 + -1.25t = 0.67 + -0.833 Combine like terms: 0.833 + -0.833 = 0.000 0.000 + -1.25t = 0.67 + -0.833 -1.25t = 0.67 + -0.833 Combine like terms: 0.67 + -0.833 = -0.163 -1.25t = -0.163 Divide each side by '-1.25'. t = 0.1304 Simplifying t = 0.1304
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