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Simplifying 8(v + -5) + -6v = -8 + -6(v + 4) Reorder the terms: 8(-5 + v) + -6v = -8 + -6(v + 4) (-5 * 8 + v * 8) + -6v = -8 + -6(v + 4) (-40 + 8v) + -6v = -8 + -6(v + 4) Combine like terms: 8v + -6v = 2v -40 + 2v = -8 + -6(v + 4) Reorder the terms: -40 + 2v = -8 + -6(4 + v) -40 + 2v = -8 + (4 * -6 + v * -6) -40 + 2v = -8 + (-24 + -6v) Combine like terms: -8 + -24 = -32 -40 + 2v = -32 + -6v Solving -40 + 2v = -32 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -40 + 2v + 6v = -32 + -6v + 6v Combine like terms: 2v + 6v = 8v -40 + 8v = -32 + -6v + 6v Combine like terms: -6v + 6v = 0 -40 + 8v = -32 + 0 -40 + 8v = -32 Add '40' to each side of the equation. -40 + 40 + 8v = -32 + 40 Combine like terms: -40 + 40 = 0 0 + 8v = -32 + 40 8v = -32 + 40 Combine like terms: -32 + 40 = 8 8v = 8 Divide each side by '8'. v = 1 Simplifying v = 1
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