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Simplifying 3t + 1 = t + 9 + -4t Reorder the terms: 1 + 3t = t + 9 + -4t Reorder the terms: 1 + 3t = 9 + t + -4t Combine like terms: t + -4t = -3t 1 + 3t = 9 + -3t Solving 1 + 3t = 9 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 1 + 3t + 3t = 9 + -3t + 3t Combine like terms: 3t + 3t = 6t 1 + 6t = 9 + -3t + 3t Combine like terms: -3t + 3t = 0 1 + 6t = 9 + 0 1 + 6t = 9 Add '-1' to each side of the equation. 1 + -1 + 6t = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 6t = 9 + -1 6t = 9 + -1 Combine like terms: 9 + -1 = 8 6t = 8 Divide each side by '6'. t = 1.333333333 Simplifying t = 1.333333333
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