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Simplifying 34 + -7v = 4(1 + -6v) + -4 34 + -7v = (1 * 4 + -6v * 4) + -4 34 + -7v = (4 + -24v) + -4 Reorder the terms: 34 + -7v = 4 + -4 + -24v Combine like terms: 4 + -4 = 0 34 + -7v = 0 + -24v 34 + -7v = -24v Solving 34 + -7v = -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. 34 + -7v + 24v = -24v + 24v Combine like terms: -7v + 24v = 17v 34 + 17v = -24v + 24v Combine like terms: -24v + 24v = 0 34 + 17v = 0 Add '-34' to each side of the equation. 34 + -34 + 17v = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 17v = 0 + -34 17v = 0 + -34 Combine like terms: 0 + -34 = -34 17v = -34 Divide each side by '17'. v = -2 Simplifying v = -2
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