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Simplifying -14 = 6(v + 2) + 7v Reorder the terms: -14 = 6(2 + v) + 7v -14 = (2 * 6 + v * 6) + 7v -14 = (12 + 6v) + 7v Combine like terms: 6v + 7v = 13v -14 = 12 + 13v Solving -14 = 12 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -14 + -13v = 12 + 13v + -13v Combine like terms: 13v + -13v = 0 -14 + -13v = 12 + 0 -14 + -13v = 12 Add '14' to each side of the equation. -14 + 14 + -13v = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -13v = 12 + 14 -13v = 12 + 14 Combine like terms: 12 + 14 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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