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Simplifying t + 1 + 5t = 3 + -2 + t Reorder the terms: 1 + t + 5t = 3 + -2 + t Combine like terms: t + 5t = 6t 1 + 6t = 3 + -2 + t Combine like terms: 3 + -2 = 1 1 + 6t = 1 + t Add '-1' to each side of the equation. 1 + -1 + 6t = 1 + -1 + t Combine like terms: 1 + -1 = 0 0 + 6t = 1 + -1 + t 6t = 1 + -1 + t Combine like terms: 1 + -1 = 0 6t = 0 + t 6t = t Solving 6t = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 6t + -1t = t + -1t Combine like terms: 6t + -1t = 5t 5t = t + -1t Combine like terms: t + -1t = 0 5t = 0 Divide each side by '5'. t = 0 Simplifying t = 0
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