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Simplifying 8v + -8(-1v + -7) = 8(v + -5) Reorder the terms: 8v + -8(-7 + -1v) = 8(v + -5) 8v + (-7 * -8 + -1v * -8) = 8(v + -5) 8v + (56 + 8v) = 8(v + -5) Reorder the terms: 56 + 8v + 8v = 8(v + -5) Combine like terms: 8v + 8v = 16v 56 + 16v = 8(v + -5) Reorder the terms: 56 + 16v = 8(-5 + v) 56 + 16v = (-5 * 8 + v * 8) 56 + 16v = (-40 + 8v) Solving 56 + 16v = -40 + 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. 56 + 16v + -8v = -40 + 8v + -8v Combine like terms: 16v + -8v = 8v 56 + 8v = -40 + 8v + -8v Combine like terms: 8v + -8v = 0 56 + 8v = -40 + 0 56 + 8v = -40 Add '-56' to each side of the equation. 56 + -56 + 8v = -40 + -56 Combine like terms: 56 + -56 = 0 0 + 8v = -40 + -56 8v = -40 + -56 Combine like terms: -40 + -56 = -96 8v = -96 Divide each side by '8'. v = -12 Simplifying v = -12
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