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Simplifying t + -1(12 + -1t) = 38 t + (12 * -1 + -1t * -1) = 38 t + (-12 + 1t) = 38 Reorder the terms: -12 + t + 1t = 38 Combine like terms: t + 1t = 2t -12 + 2t = 38 Solving -12 + 2t = 38 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2t = 38 + 12 Combine like terms: -12 + 12 = 0 0 + 2t = 38 + 12 2t = 38 + 12 Combine like terms: 38 + 12 = 50 2t = 50 Divide each side by '2'. t = 25 Simplifying t = 25
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