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Simplifying 55 + 82t = 160 + 67t Solving 55 + 82t = 160 + 67t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-67t' to each side of the equation. 55 + 82t + -67t = 160 + 67t + -67t Combine like terms: 82t + -67t = 15t 55 + 15t = 160 + 67t + -67t Combine like terms: 67t + -67t = 0 55 + 15t = 160 + 0 55 + 15t = 160 Add '-55' to each side of the equation. 55 + -55 + 15t = 160 + -55 Combine like terms: 55 + -55 = 0 0 + 15t = 160 + -55 15t = 160 + -55 Combine like terms: 160 + -55 = 105 15t = 105 Divide each side by '15'. t = 7 Simplifying t = 7
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