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Simplifying 7t + 21 = 8t + 3 Reorder the terms: 21 + 7t = 8t + 3 Reorder the terms: 21 + 7t = 3 + 8t Solving 21 + 7t = 3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 21 + 7t + -8t = 3 + 8t + -8t Combine like terms: 7t + -8t = -1t 21 + -1t = 3 + 8t + -8t Combine like terms: 8t + -8t = 0 21 + -1t = 3 + 0 21 + -1t = 3 Add '-21' to each side of the equation. 21 + -21 + -1t = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -1t = 3 + -21 -1t = 3 + -21 Combine like terms: 3 + -21 = -18 -1t = -18 Divide each side by '-1'. t = 18 Simplifying t = 18
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