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Simplifying -8v + 42 = -6(v + -4) Reorder the terms: 42 + -8v = -6(v + -4) Reorder the terms: 42 + -8v = -6(-4 + v) 42 + -8v = (-4 * -6 + v * -6) 42 + -8v = (24 + -6v) Solving 42 + -8v = 24 + -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. 42 + -8v + 6v = 24 + -6v + 6v Combine like terms: -8v + 6v = -2v 42 + -2v = 24 + -6v + 6v Combine like terms: -6v + 6v = 0 42 + -2v = 24 + 0 42 + -2v = 24 Add '-42' to each side of the equation. 42 + -42 + -2v = 24 + -42 Combine like terms: 42 + -42 = 0 0 + -2v = 24 + -42 -2v = 24 + -42 Combine like terms: 24 + -42 = -18 -2v = -18 Divide each side by '-2'. v = 9 Simplifying v = 9
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