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Simplifying 9v + -48 = 6(v + -9) Reorder the terms: -48 + 9v = 6(v + -9) Reorder the terms: -48 + 9v = 6(-9 + v) -48 + 9v = (-9 * 6 + v * 6) -48 + 9v = (-54 + 6v) Solving -48 + 9v = -54 + 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. -48 + 9v + -6v = -54 + 6v + -6v Combine like terms: 9v + -6v = 3v -48 + 3v = -54 + 6v + -6v Combine like terms: 6v + -6v = 0 -48 + 3v = -54 + 0 -48 + 3v = -54 Add '48' to each side of the equation. -48 + 48 + 3v = -54 + 48 Combine like terms: -48 + 48 = 0 0 + 3v = -54 + 48 3v = -54 + 48 Combine like terms: -54 + 48 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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