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Simplifying 6 + 3t = 9t + -14 Reorder the terms: 6 + 3t = -14 + 9t Solving 6 + 3t = -14 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 6 + 3t + -9t = -14 + 9t + -9t Combine like terms: 3t + -9t = -6t 6 + -6t = -14 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -6t = -14 + 0 6 + -6t = -14 Add '-6' to each side of the equation. 6 + -6 + -6t = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -6t = -14 + -6 -6t = -14 + -6 Combine like terms: -14 + -6 = -20 -6t = -20 Divide each side by '-6'. t = 3.333333333 Simplifying t = 3.333333333
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