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Simplifying -6(1 + -7v) = 29 + 7v (1 * -6 + -7v * -6) = 29 + 7v (-6 + 42v) = 29 + 7v Solving -6 + 42v = 29 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -6 + 42v + -7v = 29 + 7v + -7v Combine like terms: 42v + -7v = 35v -6 + 35v = 29 + 7v + -7v Combine like terms: 7v + -7v = 0 -6 + 35v = 29 + 0 -6 + 35v = 29 Add '6' to each side of the equation. -6 + 6 + 35v = 29 + 6 Combine like terms: -6 + 6 = 0 0 + 35v = 29 + 6 35v = 29 + 6 Combine like terms: 29 + 6 = 35 35v = 35 Divide each side by '35'. v = 1 Simplifying v = 1
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