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Simplifying -8v + 42 = -3(v + -4) Reorder the terms: 42 + -8v = -3(v + -4) Reorder the terms: 42 + -8v = -3(-4 + v) 42 + -8v = (-4 * -3 + v * -3) 42 + -8v = (12 + -3v) Solving 42 + -8v = 12 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 42 + -8v + 3v = 12 + -3v + 3v Combine like terms: -8v + 3v = -5v 42 + -5v = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 42 + -5v = 12 + 0 42 + -5v = 12 Add '-42' to each side of the equation. 42 + -42 + -5v = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -5v = 12 + -42 -5v = 12 + -42 Combine like terms: 12 + -42 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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