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Simplifying 8v + -36 = 4(v + -4) Reorder the terms: -36 + 8v = 4(v + -4) Reorder the terms: -36 + 8v = 4(-4 + v) -36 + 8v = (-4 * 4 + v * 4) -36 + 8v = (-16 + 4v) Solving -36 + 8v = -16 + 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 + 8v + -4v = -16 + 4v + -4v Combine like terms: 8v + -4v = 4v -36 + 4v = -16 + 4v + -4v Combine like terms: 4v + -4v = 0 -36 + 4v = -16 + 0 -36 + 4v = -16 Add '36' to each side of the equation. -36 + 36 + 4v = -16 + 36 Combine like terms: -36 + 36 = 0 0 + 4v = -16 + 36 4v = -16 + 36 Combine like terms: -16 + 36 = 20 4v = 20 Divide each side by '4'. v = 5 Simplifying v = 5
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