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Simplifying 5t + 9 = 3t + -21 Reorder the terms: 9 + 5t = 3t + -21 Reorder the terms: 9 + 5t = -21 + 3t Solving 9 + 5t = -21 + 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. 9 + 5t + -3t = -21 + 3t + -3t Combine like terms: 5t + -3t = 2t 9 + 2t = -21 + 3t + -3t Combine like terms: 3t + -3t = 0 9 + 2t = -21 + 0 9 + 2t = -21 Add '-9' to each side of the equation. 9 + -9 + 2t = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 2t = -21 + -9 2t = -21 + -9 Combine like terms: -21 + -9 = -30 2t = -30 Divide each side by '2'. t = -15 Simplifying t = -15
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