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Simplifying 47(3.8 + -1t) + 55t = 197 (3.8 * 47 + -1t * 47) + 55t = 197 (178.6 + -47t) + 55t = 197 Combine like terms: -47t + 55t = 8t 178.6 + 8t = 197 Solving 178.6 + 8t = 197 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-178.6' to each side of the equation. 178.6 + -178.6 + 8t = 197 + -178.6 Combine like terms: 178.6 + -178.6 = 0.0 0.0 + 8t = 197 + -178.6 8t = 197 + -178.6 Combine like terms: 197 + -178.6 = 18.4 8t = 18.4 Divide each side by '8'. t = 2.3 Simplifying t = 2.3
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