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Simplifying -2 + -6(1 + 7v) = -8 + -7v -2 + (1 * -6 + 7v * -6) = -8 + -7v -2 + (-6 + -42v) = -8 + -7v Combine like terms: -2 + -6 = -8 -8 + -42v = -8 + -7v Add '8' to each side of the equation. -8 + 8 + -42v = -8 + 8 + -7v Combine like terms: -8 + 8 = 0 0 + -42v = -8 + 8 + -7v -42v = -8 + 8 + -7v Combine like terms: -8 + 8 = 0 -42v = 0 + -7v -42v = -7v Solving -42v = -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. -42v + 7v = -7v + 7v Combine like terms: -42v + 7v = -35v -35v = -7v + 7v Combine like terms: -7v + 7v = 0 -35v = 0 Divide each side by '-35'. v = 0 Simplifying v = 0
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