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Simplifying 41.25 = 3(t + 5.50) Reorder the terms: 41.25 = 3(5.50 + t) 41.25 = (5.50 * 3 + t * 3) 41.25 = (16.5 + 3t) Solving 41.25 = 16.5 + 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. 41.25 + -3t = 16.5 + 3t + -3t Combine like terms: 3t + -3t = 0 41.25 + -3t = 16.5 + 0 41.25 + -3t = 16.5 Add '-41.25' to each side of the equation. 41.25 + -41.25 + -3t = 16.5 + -41.25 Combine like terms: 41.25 + -41.25 = 0.00 0.00 + -3t = 16.5 + -41.25 -3t = 16.5 + -41.25 Combine like terms: 16.5 + -41.25 = -24.75 -3t = -24.75 Divide each side by '-3'. t = 8.25 Simplifying t = 8.25
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