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Simplifying 33 + -4v = 7 + -5(v + -4) Reorder the terms: 33 + -4v = 7 + -5(-4 + v) 33 + -4v = 7 + (-4 * -5 + v * -5) 33 + -4v = 7 + (20 + -5v) Combine like terms: 7 + 20 = 27 33 + -4v = 27 + -5v Solving 33 + -4v = 27 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 33 + -4v + 5v = 27 + -5v + 5v Combine like terms: -4v + 5v = 1v 33 + 1v = 27 + -5v + 5v Combine like terms: -5v + 5v = 0 33 + 1v = 27 + 0 33 + 1v = 27 Add '-33' to each side of the equation. 33 + -33 + 1v = 27 + -33 Combine like terms: 33 + -33 = 0 0 + 1v = 27 + -33 1v = 27 + -33 Combine like terms: 27 + -33 = -6 1v = -6 Divide each side by '1'. v = -6 Simplifying v = -6
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