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Simplifying -5v + 7 = 6(v + 3) Reorder the terms: 7 + -5v = 6(v + 3) Reorder the terms: 7 + -5v = 6(3 + v) 7 + -5v = (3 * 6 + v * 6) 7 + -5v = (18 + 6v) Solving 7 + -5v = 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. 7 + -5v + -6v = 18 + 6v + -6v Combine like terms: -5v + -6v = -11v 7 + -11v = 18 + 6v + -6v Combine like terms: 6v + -6v = 0 7 + -11v = 18 + 0 7 + -11v = 18 Add '-7' to each side of the equation. 7 + -7 + -11v = 18 + -7 Combine like terms: 7 + -7 = 0 0 + -11v = 18 + -7 -11v = 18 + -7 Combine like terms: 18 + -7 = 11 -11v = 11 Divide each side by '-11'. v = -1 Simplifying v = -1
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