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Simplifying 6(t + 3) = 2(t + 23) Reorder the terms: 6(3 + t) = 2(t + 23) (3 * 6 + t * 6) = 2(t + 23) (18 + 6t) = 2(t + 23) Reorder the terms: 18 + 6t = 2(23 + t) 18 + 6t = (23 * 2 + t * 2) 18 + 6t = (46 + 2t) Solving 18 + 6t = 46 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 18 + 6t + -2t = 46 + 2t + -2t Combine like terms: 6t + -2t = 4t 18 + 4t = 46 + 2t + -2t Combine like terms: 2t + -2t = 0 18 + 4t = 46 + 0 18 + 4t = 46 Add '-18' to each side of the equation. 18 + -18 + 4t = 46 + -18 Combine like terms: 18 + -18 = 0 0 + 4t = 46 + -18 4t = 46 + -18 Combine like terms: 46 + -18 = 28 4t = 28 Divide each side by '4'. t = 7 Simplifying t = 7
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