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Simplifying 37.5 = (8.2 + t) * 3 + 1.3t Reorder the terms for easier multiplication: 37.5 = 3(8.2 + t) + 1.3t 37.5 = (8.2 * 3 + t * 3) + 1.3t 37.5 = (24.6 + 3t) + 1.3t Combine like terms: 3t + 1.3t = 4.3t 37.5 = 24.6 + 4.3t Solving 37.5 = 24.6 + 4.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.3t' to each side of the equation. 37.5 + -4.3t = 24.6 + 4.3t + -4.3t Combine like terms: 4.3t + -4.3t = 0.0 37.5 + -4.3t = 24.6 + 0.0 37.5 + -4.3t = 24.6 Add '-37.5' to each side of the equation. 37.5 + -37.5 + -4.3t = 24.6 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + -4.3t = 24.6 + -37.5 -4.3t = 24.6 + -37.5 Combine like terms: 24.6 + -37.5 = -12.9 -4.3t = -12.9 Divide each side by '-4.3'. t = 3 Simplifying t = 3
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