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Simplifying -2v + 44 = -8(v + -7) Reorder the terms: 44 + -2v = -8(v + -7) Reorder the terms: 44 + -2v = -8(-7 + v) 44 + -2v = (-7 * -8 + v * -8) 44 + -2v = (56 + -8v) Solving 44 + -2v = 56 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 44 + -2v + 8v = 56 + -8v + 8v Combine like terms: -2v + 8v = 6v 44 + 6v = 56 + -8v + 8v Combine like terms: -8v + 8v = 0 44 + 6v = 56 + 0 44 + 6v = 56 Add '-44' to each side of the equation. 44 + -44 + 6v = 56 + -44 Combine like terms: 44 + -44 = 0 0 + 6v = 56 + -44 6v = 56 + -44 Combine like terms: 56 + -44 = 12 6v = 12 Divide each side by '6'. v = 2 Simplifying v = 2
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