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Simplifying 12(t + 2) = 14(t + 5) Reorder the terms: 12(2 + t) = 14(t + 5) (2 * 12 + t * 12) = 14(t + 5) (24 + 12t) = 14(t + 5) Reorder the terms: 24 + 12t = 14(5 + t) 24 + 12t = (5 * 14 + t * 14) 24 + 12t = (70 + 14t) Solving 24 + 12t = 70 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. 24 + 12t + -14t = 70 + 14t + -14t Combine like terms: 12t + -14t = -2t 24 + -2t = 70 + 14t + -14t Combine like terms: 14t + -14t = 0 24 + -2t = 70 + 0 24 + -2t = 70 Add '-24' to each side of the equation. 24 + -24 + -2t = 70 + -24 Combine like terms: 24 + -24 = 0 0 + -2t = 70 + -24 -2t = 70 + -24 Combine like terms: 70 + -24 = 46 -2t = 46 Divide each side by '-2'. t = -23 Simplifying t = -23
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