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Simplifying 23t + -2 = 53t + -92 Reorder the terms: -2 + 23t = 53t + -92 Reorder the terms: -2 + 23t = -92 + 53t Solving -2 + 23t = -92 + 53t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-53t' to each side of the equation. -2 + 23t + -53t = -92 + 53t + -53t Combine like terms: 23t + -53t = -30t -2 + -30t = -92 + 53t + -53t Combine like terms: 53t + -53t = 0 -2 + -30t = -92 + 0 -2 + -30t = -92 Add '2' to each side of the equation. -2 + 2 + -30t = -92 + 2 Combine like terms: -2 + 2 = 0 0 + -30t = -92 + 2 -30t = -92 + 2 Combine like terms: -92 + 2 = -90 -30t = -90 Divide each side by '-30'. t = 3 Simplifying t = 3
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