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Simplifying -145 = -5(1 + -7v) -145 = (1 * -5 + -7v * -5) -145 = (-5 + 35v) Solving -145 = -5 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. -145 + -35v = -5 + 35v + -35v Combine like terms: 35v + -35v = 0 -145 + -35v = -5 + 0 -145 + -35v = -5 Add '145' to each side of the equation. -145 + 145 + -35v = -5 + 145 Combine like terms: -145 + 145 = 0 0 + -35v = -5 + 145 -35v = -5 + 145 Combine like terms: -5 + 145 = 140 -35v = 140 Divide each side by '-35'. v = -4 Simplifying v = -4
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