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Simplifying 2(4v + -7) = 42 Reorder the terms: 2(-7 + 4v) = 42 (-7 * 2 + 4v * 2) = 42 (-14 + 8v) = 42 Solving -14 + 8v = 42 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8v = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 8v = 42 + 14 8v = 42 + 14 Combine like terms: 42 + 14 = 56 8v = 56 Divide each side by '8'. v = 7 Simplifying v = 7
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