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Simplifying -5v + 20 = -2(4v + 2) + -6 Reorder the terms: 20 + -5v = -2(4v + 2) + -6 Reorder the terms: 20 + -5v = -2(2 + 4v) + -6 20 + -5v = (2 * -2 + 4v * -2) + -6 20 + -5v = (-4 + -8v) + -6 Reorder the terms: 20 + -5v = -4 + -6 + -8v Combine like terms: -4 + -6 = -10 20 + -5v = -10 + -8v Solving 20 + -5v = -10 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 20 + -5v + 8v = -10 + -8v + 8v Combine like terms: -5v + 8v = 3v 20 + 3v = -10 + -8v + 8v Combine like terms: -8v + 8v = 0 20 + 3v = -10 + 0 20 + 3v = -10 Add '-20' to each side of the equation. 20 + -20 + 3v = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 3v = -10 + -20 3v = -10 + -20 Combine like terms: -10 + -20 = -30 3v = -30 Divide each side by '3'. v = -10 Simplifying v = -10
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