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Simplifying 35t + -19 = 31t + 53 Reorder the terms: -19 + 35t = 31t + 53 Reorder the terms: -19 + 35t = 53 + 31t Solving -19 + 35t = 53 + 31t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-31t' to each side of the equation. -19 + 35t + -31t = 53 + 31t + -31t Combine like terms: 35t + -31t = 4t -19 + 4t = 53 + 31t + -31t Combine like terms: 31t + -31t = 0 -19 + 4t = 53 + 0 -19 + 4t = 53 Add '19' to each side of the equation. -19 + 19 + 4t = 53 + 19 Combine like terms: -19 + 19 = 0 0 + 4t = 53 + 19 4t = 53 + 19 Combine like terms: 53 + 19 = 72 4t = 72 Divide each side by '4'. t = 18 Simplifying t = 18
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