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Simplifying 12 + 6t = 4(5 + t) 12 + 6t = (5 * 4 + t * 4) 12 + 6t = (20 + 4t) Solving 12 + 6t = 20 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 12 + 6t + -4t = 20 + 4t + -4t Combine like terms: 6t + -4t = 2t 12 + 2t = 20 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + 2t = 20 + 0 12 + 2t = 20 Add '-12' to each side of the equation. 12 + -12 + 2t = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 2t = 20 + -12 2t = 20 + -12 Combine like terms: 20 + -12 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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