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Simplifying -2(3v + -4) = -1v + -7(-8 + -1v) Reorder the terms: -2(-4 + 3v) = -1v + -7(-8 + -1v) (-4 * -2 + 3v * -2) = -1v + -7(-8 + -1v) (8 + -6v) = -1v + -7(-8 + -1v) 8 + -6v = -1v + (-8 * -7 + -1v * -7) 8 + -6v = -1v + (56 + 7v) Reorder the terms: 8 + -6v = 56 + -1v + 7v Combine like terms: -1v + 7v = 6v 8 + -6v = 56 + 6v Solving 8 + -6v = 56 + 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. 8 + -6v + -6v = 56 + 6v + -6v Combine like terms: -6v + -6v = -12v 8 + -12v = 56 + 6v + -6v Combine like terms: 6v + -6v = 0 8 + -12v = 56 + 0 8 + -12v = 56 Add '-8' to each side of the equation. 8 + -8 + -12v = 56 + -8 Combine like terms: 8 + -8 = 0 0 + -12v = 56 + -8 -12v = 56 + -8 Combine like terms: 56 + -8 = 48 -12v = 48 Divide each side by '-12'. v = -4 Simplifying v = -4
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