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Simplifying 6v + -30 = 3(v + -8) Reorder the terms: -30 + 6v = 3(v + -8) Reorder the terms: -30 + 6v = 3(-8 + v) -30 + 6v = (-8 * 3 + v * 3) -30 + 6v = (-24 + 3v) Solving -30 + 6v = -24 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -30 + 6v + -3v = -24 + 3v + -3v Combine like terms: 6v + -3v = 3v -30 + 3v = -24 + 3v + -3v Combine like terms: 3v + -3v = 0 -30 + 3v = -24 + 0 -30 + 3v = -24 Add '30' to each side of the equation. -30 + 30 + 3v = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 3v = -24 + 30 3v = -24 + 30 Combine like terms: -24 + 30 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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