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Simplifying -7v + 3(-2v + -5) = 34 + -6v Reorder the terms: -7v + 3(-5 + -2v) = 34 + -6v -7v + (-5 * 3 + -2v * 3) = 34 + -6v -7v + (-15 + -6v) = 34 + -6v Reorder the terms: -15 + -7v + -6v = 34 + -6v Combine like terms: -7v + -6v = -13v -15 + -13v = 34 + -6v Solving -15 + -13v = 34 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -15 + -13v + 6v = 34 + -6v + 6v Combine like terms: -13v + 6v = -7v -15 + -7v = 34 + -6v + 6v Combine like terms: -6v + 6v = 0 -15 + -7v = 34 + 0 -15 + -7v = 34 Add '15' to each side of the equation. -15 + 15 + -7v = 34 + 15 Combine like terms: -15 + 15 = 0 0 + -7v = 34 + 15 -7v = 34 + 15 Combine like terms: 34 + 15 = 49 -7v = 49 Divide each side by '-7'. v = -7 Simplifying v = -7
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