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Simplifying 7 + 6(1 + -7v) = v + 13 7 + (1 * 6 + -7v * 6) = v + 13 7 + (6 + -42v) = v + 13 Combine like terms: 7 + 6 = 13 13 + -42v = v + 13 Reorder the terms: 13 + -42v = 13 + v Add '-13' to each side of the equation. 13 + -13 + -42v = 13 + -13 + v Combine like terms: 13 + -13 = 0 0 + -42v = 13 + -13 + v -42v = 13 + -13 + v Combine like terms: 13 + -13 = 0 -42v = 0 + v -42v = v Solving -42v = v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -42v + -1v = v + -1v Combine like terms: -42v + -1v = -43v -43v = v + -1v Combine like terms: v + -1v = 0 -43v = 0 Divide each side by '-43'. v = 0 Simplifying v = 0
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