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Simplifying 9.75t + 8 = 13.5t + 11 Reorder the terms: 8 + 9.75t = 13.5t + 11 Reorder the terms: 8 + 9.75t = 11 + 13.5t Solving 8 + 9.75t = 11 + 13.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13.5t' to each side of the equation. 8 + 9.75t + -13.5t = 11 + 13.5t + -13.5t Combine like terms: 9.75t + -13.5t = -3.75t 8 + -3.75t = 11 + 13.5t + -13.5t Combine like terms: 13.5t + -13.5t = 0.0 8 + -3.75t = 11 + 0.0 8 + -3.75t = 11 Add '-8' to each side of the equation. 8 + -8 + -3.75t = 11 + -8 Combine like terms: 8 + -8 = 0 0 + -3.75t = 11 + -8 -3.75t = 11 + -8 Combine like terms: 11 + -8 = 3 -3.75t = 3 Divide each side by '-3.75'. t = -0.8 Simplifying t = -0.8
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