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Simplifying 4(v + 4) = -40 + -4v Reorder the terms: 4(4 + v) = -40 + -4v (4 * 4 + v * 4) = -40 + -4v (16 + 4v) = -40 + -4v Solving 16 + 4v = -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. 16 + 4v + 4v = -40 + -4v + 4v Combine like terms: 4v + 4v = 8v 16 + 8v = -40 + -4v + 4v Combine like terms: -4v + 4v = 0 16 + 8v = -40 + 0 16 + 8v = -40 Add '-16' to each side of the equation. 16 + -16 + 8v = -40 + -16 Combine like terms: 16 + -16 = 0 0 + 8v = -40 + -16 8v = -40 + -16 Combine like terms: -40 + -16 = -56 8v = -56 Divide each side by '8'. v = -7 Simplifying v = -7
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