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Simplifying 7v + 37 = -4(v + -1) Reorder the terms: 37 + 7v = -4(v + -1) Reorder the terms: 37 + 7v = -4(-1 + v) 37 + 7v = (-1 * -4 + v * -4) 37 + 7v = (4 + -4v) Solving 37 + 7v = 4 + -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 = 4 + -4v + 4v Combine like terms: 7v + 4v = 11v 37 + 11v = 4 + -4v + 4v Combine like terms: -4v + 4v = 0 37 + 11v = 4 + 0 37 + 11v = 4 Add '-37' to each side of the equation. 37 + -37 + 11v = 4 + -37 Combine like terms: 37 + -37 = 0 0 + 11v = 4 + -37 11v = 4 + -37 Combine like terms: 4 + -37 = -33 11v = -33 Divide each side by '11'. v = -3 Simplifying v = -3
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