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Simplifying -3v + 37 = 8(v + -5) Reorder the terms: 37 + -3v = 8(v + -5) Reorder the terms: 37 + -3v = 8(-5 + v) 37 + -3v = (-5 * 8 + v * 8) 37 + -3v = (-40 + 8v) Solving 37 + -3v = -40 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 37 + -3v + -8v = -40 + 8v + -8v Combine like terms: -3v + -8v = -11v 37 + -11v = -40 + 8v + -8v Combine like terms: 8v + -8v = 0 37 + -11v = -40 + 0 37 + -11v = -40 Add '-37' to each side of the equation. 37 + -37 + -11v = -40 + -37 Combine like terms: 37 + -37 = 0 0 + -11v = -40 + -37 -11v = -40 + -37 Combine like terms: -40 + -37 = -77 -11v = -77 Divide each side by '-11'. v = 7 Simplifying v = 7
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