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Simplifying 6v + 42 = -6(v + 7) Reorder the terms: 42 + 6v = -6(v + 7) Reorder the terms: 42 + 6v = -6(7 + v) 42 + 6v = (7 * -6 + v * -6) 42 + 6v = (-42 + -6v) Solving 42 + 6v = -42 + -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 + 6v + 6v = -42 + -6v + 6v Combine like terms: 6v + 6v = 12v 42 + 12v = -42 + -6v + 6v Combine like terms: -6v + 6v = 0 42 + 12v = -42 + 0 42 + 12v = -42 Add '-42' to each side of the equation. 42 + -42 + 12v = -42 + -42 Combine like terms: 42 + -42 = 0 0 + 12v = -42 + -42 12v = -42 + -42 Combine like terms: -42 + -42 = -84 12v = -84 Divide each side by '12'. v = -7 Simplifying v = -7
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