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Simplifying 40t + 120 = 55t Reorder the terms: 120 + 40t = 55t Solving 120 + 40t = 55t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-55t' to each side of the equation. 120 + 40t + -55t = 55t + -55t Combine like terms: 40t + -55t = -15t 120 + -15t = 55t + -55t Combine like terms: 55t + -55t = 0 120 + -15t = 0 Add '-120' to each side of the equation. 120 + -120 + -15t = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -15t = 0 + -120 -15t = 0 + -120 Combine like terms: 0 + -120 = -120 -15t = -120 Divide each side by '-15'. t = 8 Simplifying t = 8
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