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Simplifying 5t + 3 = 51 + -1t Reorder the terms: 3 + 5t = 51 + -1t Solving 3 + 5t = 51 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 3 + 5t + t = 51 + -1t + t Combine like terms: 5t + t = 6t 3 + 6t = 51 + -1t + t Combine like terms: -1t + t = 0 3 + 6t = 51 + 0 3 + 6t = 51 Add '-3' to each side of the equation. 3 + -3 + 6t = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 6t = 51 + -3 6t = 51 + -3 Combine like terms: 51 + -3 = 48 6t = 48 Divide each side by '6'. t = 8 Simplifying t = 8
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