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Simplifying 5(v + -6) = 6v + -24 Reorder the terms: 5(-6 + v) = 6v + -24 (-6 * 5 + v * 5) = 6v + -24 (-30 + 5v) = 6v + -24 Reorder the terms: -30 + 5v = -24 + 6v Solving -30 + 5v = -24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -30 + 5v + -6v = -24 + 6v + -6v Combine like terms: 5v + -6v = -1v -30 + -1v = -24 + 6v + -6v Combine like terms: 6v + -6v = 0 -30 + -1v = -24 + 0 -30 + -1v = -24 Add '30' to each side of the equation. -30 + 30 + -1v = -24 + 30 Combine like terms: -30 + 30 = 0 0 + -1v = -24 + 30 -1v = -24 + 30 Combine like terms: -24 + 30 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6
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