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Simplifying -6v + -6(2x + -4) = 84 Reorder the terms: -6v + -6(-4 + 2x) = 84 -6v + (-4 * -6 + 2x * -6) = 84 -6v + (24 + -12x) = 84 Reorder the terms: 24 + -6v + -12x = 84 Solving 24 + -6v + -12x = 84 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -6v + -24 + -12x = 84 + -24 Reorder the terms: 24 + -24 + -6v + -12x = 84 + -24 Combine like terms: 24 + -24 = 0 0 + -6v + -12x = 84 + -24 -6v + -12x = 84 + -24 Combine like terms: 84 + -24 = 60 -6v + -12x = 60 Add '12x' to each side of the equation. -6v + -12x + 12x = 60 + 12x Combine like terms: -12x + 12x = 0 -6v + 0 = 60 + 12x -6v = 60 + 12x Divide each side by '-6'. v = -10 + -2x Simplifying v = -10 + -2x
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