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Simplifying 4 + -5(4 + 5v) = 36 + v 4 + (4 * -5 + 5v * -5) = 36 + v 4 + (-20 + -25v) = 36 + v Combine like terms: 4 + -20 = -16 -16 + -25v = 36 + v Solving -16 + -25v = 36 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -16 + -25v + -1v = 36 + v + -1v Combine like terms: -25v + -1v = -26v -16 + -26v = 36 + v + -1v Combine like terms: v + -1v = 0 -16 + -26v = 36 + 0 -16 + -26v = 36 Add '16' to each side of the equation. -16 + 16 + -26v = 36 + 16 Combine like terms: -16 + 16 = 0 0 + -26v = 36 + 16 -26v = 36 + 16 Combine like terms: 36 + 16 = 52 -26v = 52 Divide each side by '-26'. v = -2 Simplifying v = -2
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