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Simplifying -4v + 36 = 4(v + -5) Reorder the terms: 36 + -4v = 4(v + -5) Reorder the terms: 36 + -4v = 4(-5 + v) 36 + -4v = (-5 * 4 + v * 4) 36 + -4v = (-20 + 4v) Solving 36 + -4v = -20 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 36 + -4v + -4v = -20 + 4v + -4v Combine like terms: -4v + -4v = -8v 36 + -8v = -20 + 4v + -4v Combine like terms: 4v + -4v = 0 36 + -8v = -20 + 0 36 + -8v = -20 Add '-36' to each side of the equation. 36 + -36 + -8v = -20 + -36 Combine like terms: 36 + -36 = 0 0 + -8v = -20 + -36 -8v = -20 + -36 Combine like terms: -20 + -36 = -56 -8v = -56 Divide each side by '-8'. v = 7 Simplifying v = 7
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