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Simplifying -37 + 2v = 7(v + -6) Reorder the terms: -37 + 2v = 7(-6 + v) -37 + 2v = (-6 * 7 + v * 7) -37 + 2v = (-42 + 7v) Solving -37 + 2v = -42 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -37 + 2v + -7v = -42 + 7v + -7v Combine like terms: 2v + -7v = -5v -37 + -5v = -42 + 7v + -7v Combine like terms: 7v + -7v = 0 -37 + -5v = -42 + 0 -37 + -5v = -42 Add '37' to each side of the equation. -37 + 37 + -5v = -42 + 37 Combine like terms: -37 + 37 = 0 0 + -5v = -42 + 37 -5v = -42 + 37 Combine like terms: -42 + 37 = -5 -5v = -5 Divide each side by '-5'. v = 1 Simplifying v = 1
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