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Simplifying 42t + -27 = 67t + -77 Reorder the terms: -27 + 42t = 67t + -77 Reorder the terms: -27 + 42t = -77 + 67t Solving -27 + 42t = -77 + 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. -27 + 42t + -67t = -77 + 67t + -67t Combine like terms: 42t + -67t = -25t -27 + -25t = -77 + 67t + -67t Combine like terms: 67t + -67t = 0 -27 + -25t = -77 + 0 -27 + -25t = -77 Add '27' to each side of the equation. -27 + 27 + -25t = -77 + 27 Combine like terms: -27 + 27 = 0 0 + -25t = -77 + 27 -25t = -77 + 27 Combine like terms: -77 + 27 = -50 -25t = -50 Divide each side by '-25'. t = 2 Simplifying t = 2
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