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Simplifying -4v + -37 = 3(v + 4) Reorder the terms: -37 + -4v = 3(v + 4) Reorder the terms: -37 + -4v = 3(4 + v) -37 + -4v = (4 * 3 + v * 3) -37 + -4v = (12 + 3v) Solving -37 + -4v = 12 + 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. -37 + -4v + -3v = 12 + 3v + -3v Combine like terms: -4v + -3v = -7v -37 + -7v = 12 + 3v + -3v Combine like terms: 3v + -3v = 0 -37 + -7v = 12 + 0 -37 + -7v = 12 Add '37' to each side of the equation. -37 + 37 + -7v = 12 + 37 Combine like terms: -37 + 37 = 0 0 + -7v = 12 + 37 -7v = 12 + 37 Combine like terms: 12 + 37 = 49 -7v = 49 Divide each side by '-7'. v = -7 Simplifying v = -7
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