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Simplifying -9v + 48 = -3(v + -2) Reorder the terms: 48 + -9v = -3(v + -2) Reorder the terms: 48 + -9v = -3(-2 + v) 48 + -9v = (-2 * -3 + v * -3) 48 + -9v = (6 + -3v) Solving 48 + -9v = 6 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 48 + -9v + 3v = 6 + -3v + 3v Combine like terms: -9v + 3v = -6v 48 + -6v = 6 + -3v + 3v Combine like terms: -3v + 3v = 0 48 + -6v = 6 + 0 48 + -6v = 6 Add '-48' to each side of the equation. 48 + -48 + -6v = 6 + -48 Combine like terms: 48 + -48 = 0 0 + -6v = 6 + -48 -6v = 6 + -48 Combine like terms: 6 + -48 = -42 -6v = -42 Divide each side by '-6'. v = 7 Simplifying v = 7
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