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Simplifying -3v + 14 = -7(v + -6) Reorder the terms: 14 + -3v = -7(v + -6) Reorder the terms: 14 + -3v = -7(-6 + v) 14 + -3v = (-6 * -7 + v * -7) 14 + -3v = (42 + -7v) Solving 14 + -3v = 42 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 14 + -3v + 7v = 42 + -7v + 7v Combine like terms: -3v + 7v = 4v 14 + 4v = 42 + -7v + 7v Combine like terms: -7v + 7v = 0 14 + 4v = 42 + 0 14 + 4v = 42 Add '-14' to each side of the equation. 14 + -14 + 4v = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 4v = 42 + -14 4v = 42 + -14 Combine like terms: 42 + -14 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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