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Simplifying 42t + -42 = 61t + -80 Reorder the terms: -42 + 42t = 61t + -80 Reorder the terms: -42 + 42t = -80 + 61t Solving -42 + 42t = -80 + 61t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-61t' to each side of the equation. -42 + 42t + -61t = -80 + 61t + -61t Combine like terms: 42t + -61t = -19t -42 + -19t = -80 + 61t + -61t Combine like terms: 61t + -61t = 0 -42 + -19t = -80 + 0 -42 + -19t = -80 Add '42' to each side of the equation. -42 + 42 + -19t = -80 + 42 Combine like terms: -42 + 42 = 0 0 + -19t = -80 + 42 -19t = -80 + 42 Combine like terms: -80 + 42 = -38 -19t = -38 Divide each side by '-19'. t = 2 Simplifying t = 2
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