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Simplifying 7v + 4 = -3(v + 2) Reorder the terms: 4 + 7v = -3(v + 2) Reorder the terms: 4 + 7v = -3(2 + v) 4 + 7v = (2 * -3 + v * -3) 4 + 7v = (-6 + -3v) Solving 4 + 7v = -6 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 4 + 7v + 3v = -6 + -3v + 3v Combine like terms: 7v + 3v = 10v 4 + 10v = -6 + -3v + 3v Combine like terms: -3v + 3v = 0 4 + 10v = -6 + 0 4 + 10v = -6 Add '-4' to each side of the equation. 4 + -4 + 10v = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 10v = -6 + -4 10v = -6 + -4 Combine like terms: -6 + -4 = -10 10v = -10 Divide each side by '10'. v = -1 Simplifying v = -1
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