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Simplifying -4(6v + -7) + 6 = -4 + -5(-1 + 7v) Reorder the terms: -4(-7 + 6v) + 6 = -4 + -5(-1 + 7v) (-7 * -4 + 6v * -4) + 6 = -4 + -5(-1 + 7v) (28 + -24v) + 6 = -4 + -5(-1 + 7v) Reorder the terms: 28 + 6 + -24v = -4 + -5(-1 + 7v) Combine like terms: 28 + 6 = 34 34 + -24v = -4 + -5(-1 + 7v) 34 + -24v = -4 + (-1 * -5 + 7v * -5) 34 + -24v = -4 + (5 + -35v) Combine like terms: -4 + 5 = 1 34 + -24v = 1 + -35v Solving 34 + -24v = 1 + -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. 34 + -24v + 35v = 1 + -35v + 35v Combine like terms: -24v + 35v = 11v 34 + 11v = 1 + -35v + 35v Combine like terms: -35v + 35v = 0 34 + 11v = 1 + 0 34 + 11v = 1 Add '-34' to each side of the equation. 34 + -34 + 11v = 1 + -34 Combine like terms: 34 + -34 = 0 0 + 11v = 1 + -34 11v = 1 + -34 Combine like terms: 1 + -34 = -33 11v = -33 Divide each side by '11'. v = -3 Simplifying v = -3
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