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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 = 1 1 + 3t + -1t + 21v + -12v = 0 Combine like terms: 3t + -1t = 2t 1 + 2t + 21v + -12v = 0 Combine like terms: 21v + -12v = 9v 1 + 2t + 9v = 0 Solving 1 + 2t + 9v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2t + -1 + 9v = 0 + -1 Reorder the terms: 1 + -1 + 2t + 9v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2t + 9v = 0 + -1 2t + 9v = 0 + -1 Combine like terms: 0 + -1 = -1 2t + 9v = -1 Add '-9v' to each side of the equation. 2t + 9v + -9v = -1 + -9v Combine like terms: 9v + -9v = 0 2t + 0 = -1 + -9v 2t = -1 + -9v Divide each side by '2'. t = -0.5 + -4.5v Simplifying t = -0.5 + -4.5v
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