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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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