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Simplifying -40 + -8v = -5(1 + 3v) -40 + -8v = (1 * -5 + 3v * -5) -40 + -8v = (-5 + -15v) Solving -40 + -8v = -5 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -40 + -8v + 15v = -5 + -15v + 15v Combine like terms: -8v + 15v = 7v -40 + 7v = -5 + -15v + 15v Combine like terms: -15v + 15v = 0 -40 + 7v = -5 + 0 -40 + 7v = -5 Add '40' to each side of the equation. -40 + 40 + 7v = -5 + 40 Combine like terms: -40 + 40 = 0 0 + 7v = -5 + 40 7v = -5 + 40 Combine like terms: -5 + 40 = 35 7v = 35 Divide each side by '7'. v = 5 Simplifying v = 5
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