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Simplifying 5.75t + 5 = 14.5t + 12 Reorder the terms: 5 + 5.75t = 14.5t + 12 Reorder the terms: 5 + 5.75t = 12 + 14.5t Solving 5 + 5.75t = 12 + 14.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14.5t' to each side of the equation. 5 + 5.75t + -14.5t = 12 + 14.5t + -14.5t Combine like terms: 5.75t + -14.5t = -8.75t 5 + -8.75t = 12 + 14.5t + -14.5t Combine like terms: 14.5t + -14.5t = 0.0 5 + -8.75t = 12 + 0.0 5 + -8.75t = 12 Add '-5' to each side of the equation. 5 + -5 + -8.75t = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -8.75t = 12 + -5 -8.75t = 12 + -5 Combine like terms: 12 + -5 = 7 -8.75t = 7 Divide each side by '-8.75'. t = -0.8 Simplifying t = -0.8
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