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Simplifying -5(v + -3) = 6v + 48 Reorder the terms: -5(-3 + v) = 6v + 48 (-3 * -5 + v * -5) = 6v + 48 (15 + -5v) = 6v + 48 Reorder the terms: 15 + -5v = 48 + 6v Solving 15 + -5v = 48 + 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. 15 + -5v + -6v = 48 + 6v + -6v Combine like terms: -5v + -6v = -11v 15 + -11v = 48 + 6v + -6v Combine like terms: 6v + -6v = 0 15 + -11v = 48 + 0 15 + -11v = 48 Add '-15' to each side of the equation. 15 + -15 + -11v = 48 + -15 Combine like terms: 15 + -15 = 0 0 + -11v = 48 + -15 -11v = 48 + -15 Combine like terms: 48 + -15 = 33 -11v = 33 Divide each side by '-11'. v = -3 Simplifying v = -3
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