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Simplifying 7(v + -6) + 7v = 14 Reorder the terms: 7(-6 + v) + 7v = 14 (-6 * 7 + v * 7) + 7v = 14 (-42 + 7v) + 7v = 14 Combine like terms: 7v + 7v = 14v -42 + 14v = 14 Solving -42 + 14v = 14 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 14v = 14 + 42 Combine like terms: -42 + 42 = 0 0 + 14v = 14 + 42 14v = 14 + 42 Combine like terms: 14 + 42 = 56 14v = 56 Divide each side by '14'. v = 4 Simplifying v = 4
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