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Simplifying 4(3t + 4) + -20 = 3 + 5t Reorder the terms: 4(4 + 3t) + -20 = 3 + 5t (4 * 4 + 3t * 4) + -20 = 3 + 5t (16 + 12t) + -20 = 3 + 5t Reorder the terms: 16 + -20 + 12t = 3 + 5t Combine like terms: 16 + -20 = -4 -4 + 12t = 3 + 5t Solving -4 + 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. -4 + 12t + -5t = 3 + 5t + -5t Combine like terms: 12t + -5t = 7t -4 + 7t = 3 + 5t + -5t Combine like terms: 5t + -5t = 0 -4 + 7t = 3 + 0 -4 + 7t = 3 Add '4' to each side of the equation. -4 + 4 + 7t = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 7t = 3 + 4 7t = 3 + 4 Combine like terms: 3 + 4 = 7 7t = 7 Divide each side by '7'. t = 1 Simplifying t = 1
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