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Simplifying -4v + -3 = 5(v + -6) Reorder the terms: -3 + -4v = 5(v + -6) Reorder the terms: -3 + -4v = 5(-6 + v) -3 + -4v = (-6 * 5 + v * 5) -3 + -4v = (-30 + 5v) Solving -3 + -4v = -30 + 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. -3 + -4v + -5v = -30 + 5v + -5v Combine like terms: -4v + -5v = -9v -3 + -9v = -30 + 5v + -5v Combine like terms: 5v + -5v = 0 -3 + -9v = -30 + 0 -3 + -9v = -30 Add '3' to each side of the equation. -3 + 3 + -9v = -30 + 3 Combine like terms: -3 + 3 = 0 0 + -9v = -30 + 3 -9v = -30 + 3 Combine like terms: -30 + 3 = -27 -9v = -27 Divide each side by '-9'. v = 3 Simplifying v = 3
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