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Simplifying 8 = -4v + 8(v + 6) Reorder the terms: 8 = -4v + 8(6 + v) 8 = -4v + (6 * 8 + v * 8) 8 = -4v + (48 + 8v) Reorder the terms: 8 = 48 + -4v + 8v Combine like terms: -4v + 8v = 4v 8 = 48 + 4v Solving 8 = 48 + 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. 8 + -4v = 48 + 4v + -4v Combine like terms: 4v + -4v = 0 8 + -4v = 48 + 0 8 + -4v = 48 Add '-8' to each side of the equation. 8 + -8 + -4v = 48 + -8 Combine like terms: 8 + -8 = 0 0 + -4v = 48 + -8 -4v = 48 + -8 Combine like terms: 48 + -8 = 40 -4v = 40 Divide each side by '-4'. v = -10 Simplifying v = -10
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