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Simplifying 5v + 47 = -6(v + 5) Reorder the terms: 47 + 5v = -6(v + 5) Reorder the terms: 47 + 5v = -6(5 + v) 47 + 5v = (5 * -6 + v * -6) 47 + 5v = (-30 + -6v) Solving 47 + 5v = -30 + -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. 47 + 5v + 6v = -30 + -6v + 6v Combine like terms: 5v + 6v = 11v 47 + 11v = -30 + -6v + 6v Combine like terms: -6v + 6v = 0 47 + 11v = -30 + 0 47 + 11v = -30 Add '-47' to each side of the equation. 47 + -47 + 11v = -30 + -47 Combine like terms: 47 + -47 = 0 0 + 11v = -30 + -47 11v = -30 + -47 Combine like terms: -30 + -47 = -77 11v = -77 Divide each side by '11'. v = -7 Simplifying v = -7
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