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Simplifying 6t + 8 = 33 + t Reorder the terms: 8 + 6t = 33 + t Solving 8 + 6t = 33 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 8 + 6t + -1t = 33 + t + -1t Combine like terms: 6t + -1t = 5t 8 + 5t = 33 + t + -1t Combine like terms: t + -1t = 0 8 + 5t = 33 + 0 8 + 5t = 33 Add '-8' to each side of the equation. 8 + -8 + 5t = 33 + -8 Combine like terms: 8 + -8 = 0 0 + 5t = 33 + -8 5t = 33 + -8 Combine like terms: 33 + -8 = 25 5t = 25 Divide each side by '5'. t = 5 Simplifying t = 5
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