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Simplifying 4(3t + 5) + 7 = 8t + 3 Reorder the terms: 4(5 + 3t) + 7 = 8t + 3 (5 * 4 + 3t * 4) + 7 = 8t + 3 (20 + 12t) + 7 = 8t + 3 Reorder the terms: 20 + 7 + 12t = 8t + 3 Combine like terms: 20 + 7 = 27 27 + 12t = 8t + 3 Reorder the terms: 27 + 12t = 3 + 8t Solving 27 + 12t = 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. 27 + 12t + -8t = 3 + 8t + -8t Combine like terms: 12t + -8t = 4t 27 + 4t = 3 + 8t + -8t Combine like terms: 8t + -8t = 0 27 + 4t = 3 + 0 27 + 4t = 3 Add '-27' to each side of the equation. 27 + -27 + 4t = 3 + -27 Combine like terms: 27 + -27 = 0 0 + 4t = 3 + -27 4t = 3 + -27 Combine like terms: 3 + -27 = -24 4t = -24 Divide each side by '4'. t = -6 Simplifying t = -6
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