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Simplifying 4 + 9t + -3 = 7t + 21 + -3t Reorder the terms: 4 + -3 + 9t = 7t + 21 + -3t Combine like terms: 4 + -3 = 1 1 + 9t = 7t + 21 + -3t Reorder the terms: 1 + 9t = 21 + 7t + -3t Combine like terms: 7t + -3t = 4t 1 + 9t = 21 + 4t Solving 1 + 9t = 21 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 1 + 9t + -4t = 21 + 4t + -4t Combine like terms: 9t + -4t = 5t 1 + 5t = 21 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + 5t = 21 + 0 1 + 5t = 21 Add '-1' to each side of the equation. 1 + -1 + 5t = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = 21 + -1 5t = 21 + -1 Combine like terms: 21 + -1 = 20 5t = 20 Divide each side by '5'. t = 4 Simplifying t = 4
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