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Simplifying 14(v + -2) + -7(v + 8) = 21v Reorder the terms: 14(-2 + v) + -7(v + 8) = 21v (-2 * 14 + v * 14) + -7(v + 8) = 21v (-28 + 14v) + -7(v + 8) = 21v Reorder the terms: -28 + 14v + -7(8 + v) = 21v -28 + 14v + (8 * -7 + v * -7) = 21v -28 + 14v + (-56 + -7v) = 21v Reorder the terms: -28 + -56 + 14v + -7v = 21v Combine like terms: -28 + -56 = -84 -84 + 14v + -7v = 21v Combine like terms: 14v + -7v = 7v -84 + 7v = 21v Solving -84 + 7v = 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -84 + 7v + -21v = 21v + -21v Combine like terms: 7v + -21v = -14v -84 + -14v = 21v + -21v Combine like terms: 21v + -21v = 0 -84 + -14v = 0 Add '84' to each side of the equation. -84 + 84 + -14v = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -14v = 0 + 84 -14v = 0 + 84 Combine like terms: 0 + 84 = 84 -14v = 84 Divide each side by '-14'. v = -6 Simplifying v = -6
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