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Simplifying 4(3t + 3) + -20 = 3 + 5t Reorder the terms: 4(3 + 3t) + -20 = 3 + 5t (3 * 4 + 3t * 4) + -20 = 3 + 5t (12 + 12t) + -20 = 3 + 5t Reorder the terms: 12 + -20 + 12t = 3 + 5t Combine like terms: 12 + -20 = -8 -8 + 12t = 3 + 5t Solving -8 + 12t = 3 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -8 + 12t + -5t = 3 + 5t + -5t Combine like terms: 12t + -5t = 7t -8 + 7t = 3 + 5t + -5t Combine like terms: 5t + -5t = 0 -8 + 7t = 3 + 0 -8 + 7t = 3 Add '8' to each side of the equation. -8 + 8 + 7t = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 7t = 3 + 8 7t = 3 + 8 Combine like terms: 3 + 8 = 11 7t = 11 Divide each side by '7'. t = 1.571428571 Simplifying t = 1.571428571
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