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Simplifying 2v + 42 = -6(v + -3) Reorder the terms: 42 + 2v = -6(v + -3) Reorder the terms: 42 + 2v = -6(-3 + v) 42 + 2v = (-3 * -6 + v * -6) 42 + 2v = (18 + -6v) Solving 42 + 2v = 18 + -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 + 2v + 6v = 18 + -6v + 6v Combine like terms: 2v + 6v = 8v 42 + 8v = 18 + -6v + 6v Combine like terms: -6v + 6v = 0 42 + 8v = 18 + 0 42 + 8v = 18 Add '-42' to each side of the equation. 42 + -42 + 8v = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 8v = 18 + -42 8v = 18 + -42 Combine like terms: 18 + -42 = -24 8v = -24 Divide each side by '8'. v = -3 Simplifying v = -3
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