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Simplifying 4t + 8 = 9t + -27 Reorder the terms: 8 + 4t = 9t + -27 Reorder the terms: 8 + 4t = -27 + 9t Solving 8 + 4t = -27 + 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. 8 + 4t + -9t = -27 + 9t + -9t Combine like terms: 4t + -9t = -5t 8 + -5t = -27 + 9t + -9t Combine like terms: 9t + -9t = 0 8 + -5t = -27 + 0 8 + -5t = -27 Add '-8' to each side of the equation. 8 + -8 + -5t = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -5t = -27 + -8 -5t = -27 + -8 Combine like terms: -27 + -8 = -35 -5t = -35 Divide each side by '-5'. t = 7 Simplifying t = 7
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