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Simplifying 8v + -34 = -3(2 + -5v) Reorder the terms: -34 + 8v = -3(2 + -5v) -34 + 8v = (2 * -3 + -5v * -3) -34 + 8v = (-6 + 15v) Solving -34 + 8v = -6 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -34 + 8v + -15v = -6 + 15v + -15v Combine like terms: 8v + -15v = -7v -34 + -7v = -6 + 15v + -15v Combine like terms: 15v + -15v = 0 -34 + -7v = -6 + 0 -34 + -7v = -6 Add '34' to each side of the equation. -34 + 34 + -7v = -6 + 34 Combine like terms: -34 + 34 = 0 0 + -7v = -6 + 34 -7v = -6 + 34 Combine like terms: -6 + 34 = 28 -7v = 28 Divide each side by '-7'. v = -4 Simplifying v = -4
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