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Simplifying -7v + 34 = -4 + 3(-4v + 1) Reorder the terms: 34 + -7v = -4 + 3(-4v + 1) Reorder the terms: 34 + -7v = -4 + 3(1 + -4v) 34 + -7v = -4 + (1 * 3 + -4v * 3) 34 + -7v = -4 + (3 + -12v) Combine like terms: -4 + 3 = -1 34 + -7v = -1 + -12v Solving 34 + -7v = -1 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 34 + -7v + 12v = -1 + -12v + 12v Combine like terms: -7v + 12v = 5v 34 + 5v = -1 + -12v + 12v Combine like terms: -12v + 12v = 0 34 + 5v = -1 + 0 34 + 5v = -1 Add '-34' to each side of the equation. 34 + -34 + 5v = -1 + -34 Combine like terms: 34 + -34 = 0 0 + 5v = -1 + -34 5v = -1 + -34 Combine like terms: -1 + -34 = -35 5v = -35 Divide each side by '5'. v = -7 Simplifying v = -7
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