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Simplifying 4(3t + 4) = 3 + 5t Reorder the terms: 4(4 + 3t) = 3 + 5t (4 * 4 + 3t * 4) = 3 + 5t (16 + 12t) = 3 + 5t Solving 16 + 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. 16 + 12t + -5t = 3 + 5t + -5t Combine like terms: 12t + -5t = 7t 16 + 7t = 3 + 5t + -5t Combine like terms: 5t + -5t = 0 16 + 7t = 3 + 0 16 + 7t = 3 Add '-16' to each side of the equation. 16 + -16 + 7t = 3 + -16 Combine like terms: 16 + -16 = 0 0 + 7t = 3 + -16 7t = 3 + -16 Combine like terms: 3 + -16 = -13 7t = -13 Divide each side by '7'. t = -1.857142857 Simplifying t = -1.857142857
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