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Simplifying -4v + 8 = 6(v + 3) Reorder the terms: 8 + -4v = 6(v + 3) Reorder the terms: 8 + -4v = 6(3 + v) 8 + -4v = (3 * 6 + v * 6) 8 + -4v = (18 + 6v) Solving 8 + -4v = 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. 8 + -4v + -6v = 18 + 6v + -6v Combine like terms: -4v + -6v = -10v 8 + -10v = 18 + 6v + -6v Combine like terms: 6v + -6v = 0 8 + -10v = 18 + 0 8 + -10v = 18 Add '-8' to each side of the equation. 8 + -8 + -10v = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -10v = 18 + -8 -10v = 18 + -8 Combine like terms: 18 + -8 = 10 -10v = 10 Divide each side by '-10'. v = -1 Simplifying v = -1
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