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Simplifying 3t + 1 = 1 + 9 + -6t Reorder the terms: 1 + 3t = 1 + 9 + -6t Combine like terms: 1 + 9 = 10 1 + 3t = 10 + -6t Solving 1 + 3t = 10 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 1 + 3t + 6t = 10 + -6t + 6t Combine like terms: 3t + 6t = 9t 1 + 9t = 10 + -6t + 6t Combine like terms: -6t + 6t = 0 1 + 9t = 10 + 0 1 + 9t = 10 Add '-1' to each side of the equation. 1 + -1 + 9t = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 9t = 10 + -1 9t = 10 + -1 Combine like terms: 10 + -1 = 9 9t = 9 Divide each side by '9'. t = 1 Simplifying t = 1
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