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Simplifying -6v + 34 = 4(v + -4) Reorder the terms: 34 + -6v = 4(v + -4) Reorder the terms: 34 + -6v = 4(-4 + v) 34 + -6v = (-4 * 4 + v * 4) 34 + -6v = (-16 + 4v) Solving 34 + -6v = -16 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 34 + -6v + -4v = -16 + 4v + -4v Combine like terms: -6v + -4v = -10v 34 + -10v = -16 + 4v + -4v Combine like terms: 4v + -4v = 0 34 + -10v = -16 + 0 34 + -10v = -16 Add '-34' to each side of the equation. 34 + -34 + -10v = -16 + -34 Combine like terms: 34 + -34 = 0 0 + -10v = -16 + -34 -10v = -16 + -34 Combine like terms: -16 + -34 = -50 -10v = -50 Divide each side by '-10'. v = 5 Simplifying v = 5
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