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Simplifying 2v + 8 = 16 + -4(v + -7) Reorder the terms: 8 + 2v = 16 + -4(v + -7) Reorder the terms: 8 + 2v = 16 + -4(-7 + v) 8 + 2v = 16 + (-7 * -4 + v * -4) 8 + 2v = 16 + (28 + -4v) Combine like terms: 16 + 28 = 44 8 + 2v = 44 + -4v Solving 8 + 2v = 44 + -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. 8 + 2v + 4v = 44 + -4v + 4v Combine like terms: 2v + 4v = 6v 8 + 6v = 44 + -4v + 4v Combine like terms: -4v + 4v = 0 8 + 6v = 44 + 0 8 + 6v = 44 Add '-8' to each side of the equation. 8 + -8 + 6v = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 6v = 44 + -8 6v = 44 + -8 Combine like terms: 44 + -8 = 36 6v = 36 Divide each side by '6'. v = 6 Simplifying v = 6
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