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Simplifying 75t + -27 = 14t + 156 Reorder the terms: -27 + 75t = 14t + 156 Reorder the terms: -27 + 75t = 156 + 14t Solving -27 + 75t = 156 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -27 + 75t + -14t = 156 + 14t + -14t Combine like terms: 75t + -14t = 61t -27 + 61t = 156 + 14t + -14t Combine like terms: 14t + -14t = 0 -27 + 61t = 156 + 0 -27 + 61t = 156 Add '27' to each side of the equation. -27 + 27 + 61t = 156 + 27 Combine like terms: -27 + 27 = 0 0 + 61t = 156 + 27 61t = 156 + 27 Combine like terms: 156 + 27 = 183 61t = 183 Divide each side by '61'. t = 3 Simplifying t = 3
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