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Simplifying -37 = 7(v + -4) + 2v Reorder the terms: -37 = 7(-4 + v) + 2v -37 = (-4 * 7 + v * 7) + 2v -37 = (-28 + 7v) + 2v Combine like terms: 7v + 2v = 9v -37 = -28 + 9v Solving -37 = -28 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -37 + -9v = -28 + 9v + -9v Combine like terms: 9v + -9v = 0 -37 + -9v = -28 + 0 -37 + -9v = -28 Add '37' to each side of the equation. -37 + 37 + -9v = -28 + 37 Combine like terms: -37 + 37 = 0 0 + -9v = -28 + 37 -9v = -28 + 37 Combine like terms: -28 + 37 = 9 -9v = 9 Divide each side by '-9'. v = -1 Simplifying v = -1
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