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Simplifying 5v + -37 = -7(v + 7) Reorder the terms: -37 + 5v = -7(v + 7) Reorder the terms: -37 + 5v = -7(7 + v) -37 + 5v = (7 * -7 + v * -7) -37 + 5v = (-49 + -7v) Solving -37 + 5v = -49 + -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 + 5v + 7v = -49 + -7v + 7v Combine like terms: 5v + 7v = 12v -37 + 12v = -49 + -7v + 7v Combine like terms: -7v + 7v = 0 -37 + 12v = -49 + 0 -37 + 12v = -49 Add '37' to each side of the equation. -37 + 37 + 12v = -49 + 37 Combine like terms: -37 + 37 = 0 0 + 12v = -49 + 37 12v = -49 + 37 Combine like terms: -49 + 37 = -12 12v = -12 Divide each side by '12'. v = -1 Simplifying v = -1
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