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Simplifying 4v + -5(8 + 6v) = -118 4v + (8 * -5 + 6v * -5) = -118 4v + (-40 + -30v) = -118 Reorder the terms: -40 + 4v + -30v = -118 Combine like terms: 4v + -30v = -26v -40 + -26v = -118 Solving -40 + -26v = -118 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -26v = -118 + 40 Combine like terms: -40 + 40 = 0 0 + -26v = -118 + 40 -26v = -118 + 40 Combine like terms: -118 + 40 = -78 -26v = -78 Divide each side by '-26'. v = 3 Simplifying v = 3
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