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Simplifying -37 + 2v = -1 + -7(-4v + -6) Reorder the terms: -37 + 2v = -1 + -7(-6 + -4v) -37 + 2v = -1 + (-6 * -7 + -4v * -7) -37 + 2v = -1 + (42 + 28v) Combine like terms: -1 + 42 = 41 -37 + 2v = 41 + 28v Solving -37 + 2v = 41 + 28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28v' to each side of the equation. -37 + 2v + -28v = 41 + 28v + -28v Combine like terms: 2v + -28v = -26v -37 + -26v = 41 + 28v + -28v Combine like terms: 28v + -28v = 0 -37 + -26v = 41 + 0 -37 + -26v = 41 Add '37' to each side of the equation. -37 + 37 + -26v = 41 + 37 Combine like terms: -37 + 37 = 0 0 + -26v = 41 + 37 -26v = 41 + 37 Combine like terms: 41 + 37 = 78 -26v = 78 Divide each side by '-26'. v = -3 Simplifying v = -3
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