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Simplifying 21v + 8 + 12v + 7 + 3t + -1t = 0 Reorder the terms: 8 + 7 + 3t + -1t + 21v + 12v = 0 Combine like terms: 8 + 7 = 15 15 + 3t + -1t + 21v + 12v = 0 Combine like terms: 3t + -1t = 2t 15 + 2t + 21v + 12v = 0 Combine like terms: 21v + 12v = 33v 15 + 2t + 33v = 0 Solving 15 + 2t + 33v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 2t + -15 + 33v = 0 + -15 Reorder the terms: 15 + -15 + 2t + 33v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2t + 33v = 0 + -15 2t + 33v = 0 + -15 Combine like terms: 0 + -15 = -15 2t + 33v = -15 Add '-33v' to each side of the equation. 2t + 33v + -33v = -15 + -33v Combine like terms: 33v + -33v = 0 2t + 0 = -15 + -33v 2t = -15 + -33v Divide each side by '2'. t = -7.5 + -16.5v Simplifying t = -7.5 + -16.5v
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