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Simplifying 3t + -21 = 9 + 8t Reorder the terms: -21 + 3t = 9 + 8t Solving -21 + 3t = 9 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -21 + 3t + -8t = 9 + 8t + -8t Combine like terms: 3t + -8t = -5t -21 + -5t = 9 + 8t + -8t Combine like terms: 8t + -8t = 0 -21 + -5t = 9 + 0 -21 + -5t = 9 Add '21' to each side of the equation. -21 + 21 + -5t = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -5t = 9 + 21 -5t = 9 + 21 Combine like terms: 9 + 21 = 30 -5t = 30 Divide each side by '-5'. t = -6 Simplifying t = -6
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