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Simplifying 8 + 9t + -4 = 5t + 52 + -2t Reorder the terms: 8 + -4 + 9t = 5t + 52 + -2t Combine like terms: 8 + -4 = 4 4 + 9t = 5t + 52 + -2t Reorder the terms: 4 + 9t = 52 + 5t + -2t Combine like terms: 5t + -2t = 3t 4 + 9t = 52 + 3t Solving 4 + 9t = 52 + 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. 4 + 9t + -3t = 52 + 3t + -3t Combine like terms: 9t + -3t = 6t 4 + 6t = 52 + 3t + -3t Combine like terms: 3t + -3t = 0 4 + 6t = 52 + 0 4 + 6t = 52 Add '-4' to each side of the equation. 4 + -4 + 6t = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 6t = 52 + -4 6t = 52 + -4 Combine like terms: 52 + -4 = 48 6t = 48 Divide each side by '6'. t = 8 Simplifying t = 8
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