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Simplifying 7v + 37 = -2(-6 + -2v) + 4 Reorder the terms: 37 + 7v = -2(-6 + -2v) + 4 37 + 7v = (-6 * -2 + -2v * -2) + 4 37 + 7v = (12 + 4v) + 4 Reorder the terms: 37 + 7v = 12 + 4 + 4v Combine like terms: 12 + 4 = 16 37 + 7v = 16 + 4v Solving 37 + 7v = 16 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 37 + 7v + -4v = 16 + 4v + -4v Combine like terms: 7v + -4v = 3v 37 + 3v = 16 + 4v + -4v Combine like terms: 4v + -4v = 0 37 + 3v = 16 + 0 37 + 3v = 16 Add '-37' to each side of the equation. 37 + -37 + 3v = 16 + -37 Combine like terms: 37 + -37 = 0 0 + 3v = 16 + -37 3v = 16 + -37 Combine like terms: 16 + -37 = -21 3v = -21 Divide each side by '3'. v = -7 Simplifying v = -7
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