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Simplifying 5v + -37 = 3(v + -7) Reorder the terms: -37 + 5v = 3(v + -7) Reorder the terms: -37 + 5v = 3(-7 + v) -37 + 5v = (-7 * 3 + v * 3) -37 + 5v = (-21 + 3v) Solving -37 + 5v = -21 + 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 + 5v + -3v = -21 + 3v + -3v Combine like terms: 5v + -3v = 2v -37 + 2v = -21 + 3v + -3v Combine like terms: 3v + -3v = 0 -37 + 2v = -21 + 0 -37 + 2v = -21 Add '37' to each side of the equation. -37 + 37 + 2v = -21 + 37 Combine like terms: -37 + 37 = 0 0 + 2v = -21 + 37 2v = -21 + 37 Combine like terms: -21 + 37 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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