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Simplifying 11(2t + 3) = 5(4t + 11) Reorder the terms: 11(3 + 2t) = 5(4t + 11) (3 * 11 + 2t * 11) = 5(4t + 11) (33 + 22t) = 5(4t + 11) Reorder the terms: 33 + 22t = 5(11 + 4t) 33 + 22t = (11 * 5 + 4t * 5) 33 + 22t = (55 + 20t) Solving 33 + 22t = 55 + 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. 33 + 22t + -20t = 55 + 20t + -20t Combine like terms: 22t + -20t = 2t 33 + 2t = 55 + 20t + -20t Combine like terms: 20t + -20t = 0 33 + 2t = 55 + 0 33 + 2t = 55 Add '-33' to each side of the equation. 33 + -33 + 2t = 55 + -33 Combine like terms: 33 + -33 = 0 0 + 2t = 55 + -33 2t = 55 + -33 Combine like terms: 55 + -33 = 22 2t = 22 Divide each side by '2'. t = 11 Simplifying t = 11
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