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Simplifying -8v + -40 = -4(5 + 7v) Reorder the terms: -40 + -8v = -4(5 + 7v) -40 + -8v = (5 * -4 + 7v * -4) -40 + -8v = (-20 + -28v) Solving -40 + -8v = -20 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. -40 + -8v + 28v = -20 + -28v + 28v Combine like terms: -8v + 28v = 20v -40 + 20v = -20 + -28v + 28v Combine like terms: -28v + 28v = 0 -40 + 20v = -20 + 0 -40 + 20v = -20 Add '40' to each side of the equation. -40 + 40 + 20v = -20 + 40 Combine like terms: -40 + 40 = 0 0 + 20v = -20 + 40 20v = -20 + 40 Combine like terms: -20 + 40 = 20 20v = 20 Divide each side by '20'. v = 1 Simplifying v = 1
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