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Simplifying 5(7 + -1t) + 10t = 55 (7 * 5 + -1t * 5) + 10t = 55 (35 + -5t) + 10t = 55 Combine like terms: -5t + 10t = 5t 35 + 5t = 55 Solving 35 + 5t = 55 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 5t = 55 + -35 Combine like terms: 35 + -35 = 0 0 + 5t = 55 + -35 5t = 55 + -35 Combine like terms: 55 + -35 = 20 5t = 20 Divide each side by '5'. t = 4 Simplifying t = 4
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