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Simplifying -21 = 7v + 7(v + 3) Reorder the terms: -21 = 7v + 7(3 + v) -21 = 7v + (3 * 7 + v * 7) -21 = 7v + (21 + 7v) Reorder the terms: -21 = 21 + 7v + 7v Combine like terms: 7v + 7v = 14v -21 = 21 + 14v Solving -21 = 21 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -21 + -14v = 21 + 14v + -14v Combine like terms: 14v + -14v = 0 -21 + -14v = 21 + 0 -21 + -14v = 21 Add '21' to each side of the equation. -21 + 21 + -14v = 21 + 21 Combine like terms: -21 + 21 = 0 0 + -14v = 21 + 21 -14v = 21 + 21 Combine like terms: 21 + 21 = 42 -14v = 42 Divide each side by '-14'. v = -3 Simplifying v = -3
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