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Simplifying t2 + 12t + 18 = t2 + 3t Reorder the terms: 18 + 12t + t2 = t2 + 3t Reorder the terms: 18 + 12t + t2 = 3t + t2 Add '-1t2' to each side of the equation. 18 + 12t + t2 + -1t2 = 3t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 18 + 12t + 0 = 3t + t2 + -1t2 18 + 12t = 3t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 18 + 12t = 3t + 0 18 + 12t = 3t Solving 18 + 12t = 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 18 + 12t + -3t = 3t + -3t Combine like terms: 12t + -3t = 9t 18 + 9t = 3t + -3t Combine like terms: 3t + -3t = 0 18 + 9t = 0 Add '-18' to each side of the equation. 18 + -18 + 9t = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 9t = 0 + -18 9t = 0 + -18 Combine like terms: 0 + -18 = -18 9t = -18 Divide each side by '9'. t = -2 Simplifying t = -2
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