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Simplifying 182 = 8 + 6(8 + 7v) 182 = 8 + (8 * 6 + 7v * 6) 182 = 8 + (48 + 42v) Combine like terms: 8 + 48 = 56 182 = 56 + 42v Solving 182 = 56 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. 182 + -42v = 56 + 42v + -42v Combine like terms: 42v + -42v = 0 182 + -42v = 56 + 0 182 + -42v = 56 Add '-182' to each side of the equation. 182 + -182 + -42v = 56 + -182 Combine like terms: 182 + -182 = 0 0 + -42v = 56 + -182 -42v = 56 + -182 Combine like terms: 56 + -182 = -126 -42v = -126 Divide each side by '-42'. v = 3 Simplifying v = 3
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