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Simplifying 3t + 8 = 16 + -4(v + 7) Reorder the terms: 8 + 3t = 16 + -4(v + 7) Reorder the terms: 8 + 3t = 16 + -4(7 + v) 8 + 3t = 16 + (7 * -4 + v * -4) 8 + 3t = 16 + (-28 + -4v) Combine like terms: 16 + -28 = -12 8 + 3t = -12 + -4v Solving 8 + 3t = -12 + -4v Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3t = -12 + -8 + -4v Combine like terms: 8 + -8 = 0 0 + 3t = -12 + -8 + -4v 3t = -12 + -8 + -4v Combine like terms: -12 + -8 = -20 3t = -20 + -4v Divide each side by '3'. t = -6.666666667 + -1.333333333v Simplifying t = -6.666666667 + -1.333333333v
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