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Simplifying -3v + -48 = -9(v + 6) Reorder the terms: -48 + -3v = -9(v + 6) Reorder the terms: -48 + -3v = -9(6 + v) -48 + -3v = (6 * -9 + v * -9) -48 + -3v = (-54 + -9v) Solving -48 + -3v = -54 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -48 + -3v + 9v = -54 + -9v + 9v Combine like terms: -3v + 9v = 6v -48 + 6v = -54 + -9v + 9v Combine like terms: -9v + 9v = 0 -48 + 6v = -54 + 0 -48 + 6v = -54 Add '48' to each side of the equation. -48 + 48 + 6v = -54 + 48 Combine like terms: -48 + 48 = 0 0 + 6v = -54 + 48 6v = -54 + 48 Combine like terms: -54 + 48 = -6 6v = -6 Divide each side by '6'. v = -1 Simplifying v = -1
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