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Simplifying 9.75t + 9 = 13.5t + 12 Reorder the terms: 9 + 9.75t = 13.5t + 12 Reorder the terms: 9 + 9.75t = 12 + 13.5t Solving 9 + 9.75t = 12 + 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. 9 + 9.75t + -13.5t = 12 + 13.5t + -13.5t Combine like terms: 9.75t + -13.5t = -3.75t 9 + -3.75t = 12 + 13.5t + -13.5t Combine like terms: 13.5t + -13.5t = 0.0 9 + -3.75t = 12 + 0.0 9 + -3.75t = 12 Add '-9' to each side of the equation. 9 + -9 + -3.75t = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -3.75t = 12 + -9 -3.75t = 12 + -9 Combine like terms: 12 + -9 = 3 -3.75t = 3 Divide each side by '-3.75'. t = -0.8 Simplifying t = -0.8
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