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Simplifying 5 + 8t + -3 = 7t + 47 + -4t Reorder the terms: 5 + -3 + 8t = 7t + 47 + -4t Combine like terms: 5 + -3 = 2 2 + 8t = 7t + 47 + -4t Reorder the terms: 2 + 8t = 47 + 7t + -4t Combine like terms: 7t + -4t = 3t 2 + 8t = 47 + 3t Solving 2 + 8t = 47 + 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. 2 + 8t + -3t = 47 + 3t + -3t Combine like terms: 8t + -3t = 5t 2 + 5t = 47 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + 5t = 47 + 0 2 + 5t = 47 Add '-2' to each side of the equation. 2 + -2 + 5t = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 5t = 47 + -2 5t = 47 + -2 Combine like terms: 47 + -2 = 45 5t = 45 Divide each side by '5'. t = 9 Simplifying t = 9
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