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Simplifying 4t + -3v + 8 + -3t + 7 = 0 Reorder the terms: 8 + 7 + 4t + -3t + -3v = 0 Combine like terms: 8 + 7 = 15 15 + 4t + -3t + -3v = 0 Combine like terms: 4t + -3t = 1t 15 + 1t + -3v = 0 Solving 15 + 1t + -3v = 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 + 1t + -15 + -3v = 0 + -15 Reorder the terms: 15 + -15 + 1t + -3v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1t + -3v = 0 + -15 1t + -3v = 0 + -15 Combine like terms: 0 + -15 = -15 1t + -3v = -15 Add '3v' to each side of the equation. 1t + -3v + 3v = -15 + 3v Combine like terms: -3v + 3v = 0 1t + 0 = -15 + 3v 1t = -15 + 3v Divide each side by '1'. t = -15 + 3v Simplifying t = -15 + 3v
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