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Simplifying 2v + -40 = 6(v + -8) Reorder the terms: -40 + 2v = 6(v + -8) Reorder the terms: -40 + 2v = 6(-8 + v) -40 + 2v = (-8 * 6 + v * 6) -40 + 2v = (-48 + 6v) Solving -40 + 2v = -48 + 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. -40 + 2v + -6v = -48 + 6v + -6v Combine like terms: 2v + -6v = -4v -40 + -4v = -48 + 6v + -6v Combine like terms: 6v + -6v = 0 -40 + -4v = -48 + 0 -40 + -4v = -48 Add '40' to each side of the equation. -40 + 40 + -4v = -48 + 40 Combine like terms: -40 + 40 = 0 0 + -4v = -48 + 40 -4v = -48 + 40 Combine like terms: -48 + 40 = -8 -4v = -8 Divide each side by '-4'. v = 2 Simplifying v = 2
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