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Simplifying 4v + -40 = -4(v + 6) Reorder the terms: -40 + 4v = -4(v + 6) Reorder the terms: -40 + 4v = -4(6 + v) -40 + 4v = (6 * -4 + v * -4) -40 + 4v = (-24 + -4v) Solving -40 + 4v = -24 + -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. -40 + 4v + 4v = -24 + -4v + 4v Combine like terms: 4v + 4v = 8v -40 + 8v = -24 + -4v + 4v Combine like terms: -4v + 4v = 0 -40 + 8v = -24 + 0 -40 + 8v = -24 Add '40' to each side of the equation. -40 + 40 + 8v = -24 + 40 Combine like terms: -40 + 40 = 0 0 + 8v = -24 + 40 8v = -24 + 40 Combine like terms: -24 + 40 = 16 8v = 16 Divide each side by '8'. v = 2 Simplifying v = 2
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