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