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Simplifying 12t + -21 = -3t + 9 Reorder the terms: -21 + 12t = -3t + 9 Reorder the terms: -21 + 12t = 9 + -3t Solving -21 + 12t = 9 + -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. -21 + 12t + 3t = 9 + -3t + 3t Combine like terms: 12t + 3t = 15t -21 + 15t = 9 + -3t + 3t Combine like terms: -3t + 3t = 0 -21 + 15t = 9 + 0 -21 + 15t = 9 Add '21' to each side of the equation. -21 + 21 + 15t = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 15t = 9 + 21 15t = 9 + 21 Combine like terms: 9 + 21 = 30 15t = 30 Divide each side by '15'. t = 2 Simplifying t = 2
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