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Simplifying 3(t + 7) = 9 + -5t Reorder the terms: 3(7 + t) = 9 + -5t (7 * 3 + t * 3) = 9 + -5t (21 + 3t) = 9 + -5t Solving 21 + 3t = 9 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 21 + 3t + 5t = 9 + -5t + 5t Combine like terms: 3t + 5t = 8t 21 + 8t = 9 + -5t + 5t Combine like terms: -5t + 5t = 0 21 + 8t = 9 + 0 21 + 8t = 9 Add '-21' to each side of the equation. 21 + -21 + 8t = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 8t = 9 + -21 8t = 9 + -21 Combine like terms: 9 + -21 = -12 8t = -12 Divide each side by '8'. t = -1.5 Simplifying t = -1.5
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