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Simplifying 7(3 + t) = 4(2t + 6) (3 * 7 + t * 7) = 4(2t + 6) (21 + 7t) = 4(2t + 6) Reorder the terms: 21 + 7t = 4(6 + 2t) 21 + 7t = (6 * 4 + 2t * 4) 21 + 7t = (24 + 8t) Solving 21 + 7t = 24 + 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 = 24 + 8t + -8t Combine like terms: 7t + -8t = -1t 21 + -1t = 24 + 8t + -8t Combine like terms: 8t + -8t = 0 21 + -1t = 24 + 0 21 + -1t = 24 Add '-21' to each side of the equation. 21 + -21 + -1t = 24 + -21 Combine like terms: 21 + -21 = 0 0 + -1t = 24 + -21 -1t = 24 + -21 Combine like terms: 24 + -21 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3
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