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Simplifying 7[v + 3] + -4v = 6 Reorder the terms: 7[3 + v] + -4v = 6 [3 * 7 + v * 7] + -4v = 6 [21 + 7v] + -4v = 6 Combine like terms: 7v + -4v = 3v 21 + 3v = 6 Solving 21 + 3v = 6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3v = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 3v = 6 + -21 3v = 6 + -21 Combine like terms: 6 + -21 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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