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Simplifying 5(2t + 4) = 4(3t + 9) Reorder the terms: 5(4 + 2t) = 4(3t + 9) (4 * 5 + 2t * 5) = 4(3t + 9) (20 + 10t) = 4(3t + 9) Reorder the terms: 20 + 10t = 4(9 + 3t) 20 + 10t = (9 * 4 + 3t * 4) 20 + 10t = (36 + 12t) Solving 20 + 10t = 36 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 20 + 10t + -12t = 36 + 12t + -12t Combine like terms: 10t + -12t = -2t 20 + -2t = 36 + 12t + -12t Combine like terms: 12t + -12t = 0 20 + -2t = 36 + 0 20 + -2t = 36 Add '-20' to each side of the equation. 20 + -20 + -2t = 36 + -20 Combine like terms: 20 + -20 = 0 0 + -2t = 36 + -20 -2t = 36 + -20 Combine like terms: 36 + -20 = 16 -2t = 16 Divide each side by '-2'. t = -8 Simplifying t = -8
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