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Simplifying -5(v + 6) = 4v + 42 Reorder the terms: -5(6 + v) = 4v + 42 (6 * -5 + v * -5) = 4v + 42 (-30 + -5v) = 4v + 42 Reorder the terms: -30 + -5v = 42 + 4v Solving -30 + -5v = 42 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -30 + -5v + -4v = 42 + 4v + -4v Combine like terms: -5v + -4v = -9v -30 + -9v = 42 + 4v + -4v Combine like terms: 4v + -4v = 0 -30 + -9v = 42 + 0 -30 + -9v = 42 Add '30' to each side of the equation. -30 + 30 + -9v = 42 + 30 Combine like terms: -30 + 30 = 0 0 + -9v = 42 + 30 -9v = 42 + 30 Combine like terms: 42 + 30 = 72 -9v = 72 Divide each side by '-9'. v = -8 Simplifying v = -8
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