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Simplifying 3.1t + 145 = 10 + 7.6t Reorder the terms: 145 + 3.1t = 10 + 7.6t Solving 145 + 3.1t = 10 + 7.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7.6t' to each side of the equation. 145 + 3.1t + -7.6t = 10 + 7.6t + -7.6t Combine like terms: 3.1t + -7.6t = -4.5t 145 + -4.5t = 10 + 7.6t + -7.6t Combine like terms: 7.6t + -7.6t = 0.0 145 + -4.5t = 10 + 0.0 145 + -4.5t = 10 Add '-145' to each side of the equation. 145 + -145 + -4.5t = 10 + -145 Combine like terms: 145 + -145 = 0 0 + -4.5t = 10 + -145 -4.5t = 10 + -145 Combine like terms: 10 + -145 = -135 -4.5t = -135 Divide each side by '-4.5'. t = 30 Simplifying t = 30
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