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Simplifying -2v + -8 = -5(6v + -4) Reorder the terms: -8 + -2v = -5(6v + -4) Reorder the terms: -8 + -2v = -5(-4 + 6v) -8 + -2v = (-4 * -5 + 6v * -5) -8 + -2v = (20 + -30v) Solving -8 + -2v = 20 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. -8 + -2v + 30v = 20 + -30v + 30v Combine like terms: -2v + 30v = 28v -8 + 28v = 20 + -30v + 30v Combine like terms: -30v + 30v = 0 -8 + 28v = 20 + 0 -8 + 28v = 20 Add '8' to each side of the equation. -8 + 8 + 28v = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 28v = 20 + 8 28v = 20 + 8 Combine like terms: 20 + 8 = 28 28v = 28 Divide each side by '28'. v = 1 Simplifying v = 1
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