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Simplifying 3v + -48 = 5(v + -8) Reorder the terms: -48 + 3v = 5(v + -8) Reorder the terms: -48 + 3v = 5(-8 + v) -48 + 3v = (-8 * 5 + v * 5) -48 + 3v = (-40 + 5v) Solving -48 + 3v = -40 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -48 + 3v + -5v = -40 + 5v + -5v Combine like terms: 3v + -5v = -2v -48 + -2v = -40 + 5v + -5v Combine like terms: 5v + -5v = 0 -48 + -2v = -40 + 0 -48 + -2v = -40 Add '48' to each side of the equation. -48 + 48 + -2v = -40 + 48 Combine like terms: -48 + 48 = 0 0 + -2v = -40 + 48 -2v = -40 + 48 Combine like terms: -40 + 48 = 8 -2v = 8 Divide each side by '-2'. v = -4 Simplifying v = -4
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