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Simplifying 6t + 7 + 3t = 5t + 27 Reorder the terms: 7 + 6t + 3t = 5t + 27 Combine like terms: 6t + 3t = 9t 7 + 9t = 5t + 27 Reorder the terms: 7 + 9t = 27 + 5t Solving 7 + 9t = 27 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 7 + 9t + -5t = 27 + 5t + -5t Combine like terms: 9t + -5t = 4t 7 + 4t = 27 + 5t + -5t Combine like terms: 5t + -5t = 0 7 + 4t = 27 + 0 7 + 4t = 27 Add '-7' to each side of the equation. 7 + -7 + 4t = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 4t = 27 + -7 4t = 27 + -7 Combine like terms: 27 + -7 = 20 4t = 20 Divide each side by '4'. t = 5 Simplifying t = 5
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