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Simplifying 182 = 7(6 + 5v) 182 = (6 * 7 + 5v * 7) 182 = (42 + 35v) Solving 182 = 42 + 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. 182 + -35v = 42 + 35v + -35v Combine like terms: 35v + -35v = 0 182 + -35v = 42 + 0 182 + -35v = 42 Add '-182' to each side of the equation. 182 + -182 + -35v = 42 + -182 Combine like terms: 182 + -182 = 0 0 + -35v = 42 + -182 -35v = 42 + -182 Combine like terms: 42 + -182 = -140 -35v = -140 Divide each side by '-35'. v = 4 Simplifying v = 4
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