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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 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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