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Simplifying 3t2 + -5 = t2 + 27 Reorder the terms: -5 + 3t2 = t2 + 27 Reorder the terms: -5 + 3t2 = 27 + t2 Solving -5 + 3t2 = 27 + t2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t2' to each side of the equation. -5 + 3t2 + -1t2 = 27 + t2 + -1t2 Combine like terms: 3t2 + -1t2 = 2t2 -5 + 2t2 = 27 + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -5 + 2t2 = 27 + 0 -5 + 2t2 = 27 Add '5' to each side of the equation. -5 + 5 + 2t2 = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 2t2 = 27 + 5 2t2 = 27 + 5 Combine like terms: 27 + 5 = 32 2t2 = 32 Divide each side by '2'. t2 = 16 Simplifying t2 = 16 Take the square root of each side: t = {-4, 4}
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