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Simplifying 5.75t + 6 = 14.5t + 13 Reorder the terms: 6 + 5.75t = 14.5t + 13 Reorder the terms: 6 + 5.75t = 13 + 14.5t Solving 6 + 5.75t = 13 + 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. 6 + 5.75t + -14.5t = 13 + 14.5t + -14.5t Combine like terms: 5.75t + -14.5t = -8.75t 6 + -8.75t = 13 + 14.5t + -14.5t Combine like terms: 14.5t + -14.5t = 0.0 6 + -8.75t = 13 + 0.0 6 + -8.75t = 13 Add '-6' to each side of the equation. 6 + -6 + -8.75t = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -8.75t = 13 + -6 -8.75t = 13 + -6 Combine like terms: 13 + -6 = 7 -8.75t = 7 Divide each side by '-8.75'. t = -0.8 Simplifying t = -0.8
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