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Simplifying 9t + 27 = 3t + -6 Reorder the terms: 27 + 9t = 3t + -6 Reorder the terms: 27 + 9t = -6 + 3t Solving 27 + 9t = -6 + 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. 27 + 9t + -3t = -6 + 3t + -3t Combine like terms: 9t + -3t = 6t 27 + 6t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 27 + 6t = -6 + 0 27 + 6t = -6 Add '-27' to each side of the equation. 27 + -27 + 6t = -6 + -27 Combine like terms: 27 + -27 = 0 0 + 6t = -6 + -27 6t = -6 + -27 Combine like terms: -6 + -27 = -33 6t = -33 Divide each side by '6'. t = -5.5 Simplifying t = -5.5
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