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Simplifying -7(-2x + 2v + -6) = 0 Reorder the terms: -7(-6 + 2v + -2x) = 0 (-6 * -7 + 2v * -7 + -2x * -7) = 0 (42 + -14v + 14x) = 0 Solving 42 + -14v + 14x = 0 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 + -14v + -42 + 14x = 0 + -42 Reorder the terms: 42 + -42 + -14v + 14x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -14v + 14x = 0 + -42 -14v + 14x = 0 + -42 Combine like terms: 0 + -42 = -42 -14v + 14x = -42 Add '-14x' to each side of the equation. -14v + 14x + -14x = -42 + -14x Combine like terms: 14x + -14x = 0 -14v + 0 = -42 + -14x -14v = -42 + -14x Divide each side by '-14'. v = 3 + x Simplifying v = 3 + x
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