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Simplifying 4 = -4v + 8(v + 5) Reorder the terms: 4 = -4v + 8(5 + v) 4 = -4v + (5 * 8 + v * 8) 4 = -4v + (40 + 8v) Reorder the terms: 4 = 40 + -4v + 8v Combine like terms: -4v + 8v = 4v 4 = 40 + 4v Solving 4 = 40 + 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. 4 + -4v = 40 + 4v + -4v Combine like terms: 4v + -4v = 0 4 + -4v = 40 + 0 4 + -4v = 40 Add '-4' to each side of the equation. 4 + -4 + -4v = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -4v = 40 + -4 -4v = 40 + -4 Combine like terms: 40 + -4 = 36 -4v = 36 Divide each side by '-4'. v = -9 Simplifying v = -9
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