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Simplifying 3t + 1 = 6t + -9 Reorder the terms: 1 + 3t = 6t + -9 Reorder the terms: 1 + 3t = -9 + 6t Solving 1 + 3t = -9 + 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 = -9 + 6t + -6t Combine like terms: 3t + -6t = -3t 1 + -3t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 1 + -3t = -9 + 0 1 + -3t = -9 Add '-1' to each side of the equation. 1 + -1 + -3t = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = -9 + -1 -3t = -9 + -1 Combine like terms: -9 + -1 = -10 -3t = -10 Divide each side by '-3'. t = 3.333333333 Simplifying t = 3.333333333
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