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Simplifying -21 = 5(v + -6) + 4v Reorder the terms: -21 = 5(-6 + v) + 4v -21 = (-6 * 5 + v * 5) + 4v -21 = (-30 + 5v) + 4v Combine like terms: 5v + 4v = 9v -21 = -30 + 9v Solving -21 = -30 + 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. -21 + -9v = -30 + 9v + -9v Combine like terms: 9v + -9v = 0 -21 + -9v = -30 + 0 -21 + -9v = -30 Add '21' to each side of the equation. -21 + 21 + -9v = -30 + 21 Combine like terms: -21 + 21 = 0 0 + -9v = -30 + 21 -9v = -30 + 21 Combine like terms: -30 + 21 = -9 -9v = -9 Divide each side by '-9'. v = 1 Simplifying v = 1
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