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Simplifying -2.75 + 0.75t + 8 + -3t = 3t + 11 Reorder the terms: -2.75 + 8 + 0.75t + -3t = 3t + 11 Combine like terms: -2.75 + 8 = 5.25 5.25 + 0.75t + -3t = 3t + 11 Combine like terms: 0.75t + -3t = -2.25t 5.25 + -2.25t = 3t + 11 Reorder the terms: 5.25 + -2.25t = 11 + 3t Solving 5.25 + -2.25t = 11 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 5.25 + -2.25t + -3t = 11 + 3t + -3t Combine like terms: -2.25t + -3t = -5.25t 5.25 + -5.25t = 11 + 3t + -3t Combine like terms: 3t + -3t = 0 5.25 + -5.25t = 11 + 0 5.25 + -5.25t = 11 Add '-5.25' to each side of the equation. 5.25 + -5.25 + -5.25t = 11 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + -5.25t = 11 + -5.25 -5.25t = 11 + -5.25 Combine like terms: 11 + -5.25 = 5.75 -5.25t = 5.75 Divide each side by '-5.25'. t = -1.095238095 Simplifying t = -1.095238095
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