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Simplifying -128 = 8(v + -5) + 3v Reorder the terms: -128 = 8(-5 + v) + 3v -128 = (-5 * 8 + v * 8) + 3v -128 = (-40 + 8v) + 3v Combine like terms: 8v + 3v = 11v -128 = -40 + 11v Solving -128 = -40 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -128 + -11v = -40 + 11v + -11v Combine like terms: 11v + -11v = 0 -128 + -11v = -40 + 0 -128 + -11v = -40 Add '128' to each side of the equation. -128 + 128 + -11v = -40 + 128 Combine like terms: -128 + 128 = 0 0 + -11v = -40 + 128 -11v = -40 + 128 Combine like terms: -40 + 128 = 88 -11v = 88 Divide each side by '-11'. v = -8 Simplifying v = -8
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