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Simplifying -4v + -33 = 9(v + 5) Reorder the terms: -33 + -4v = 9(v + 5) Reorder the terms: -33 + -4v = 9(5 + v) -33 + -4v = (5 * 9 + v * 9) -33 + -4v = (45 + 9v) Solving -33 + -4v = 45 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -33 + -4v + -9v = 45 + 9v + -9v Combine like terms: -4v + -9v = -13v -33 + -13v = 45 + 9v + -9v Combine like terms: 9v + -9v = 0 -33 + -13v = 45 + 0 -33 + -13v = 45 Add '33' to each side of the equation. -33 + 33 + -13v = 45 + 33 Combine like terms: -33 + 33 = 0 0 + -13v = 45 + 33 -13v = 45 + 33 Combine like terms: 45 + 33 = 78 -13v = 78 Divide each side by '-13'. v = -6 Simplifying v = -6
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