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Simplifying -7(2v + 3) + -8v = -21 + 7v Reorder the terms: -7(3 + 2v) + -8v = -21 + 7v (3 * -7 + 2v * -7) + -8v = -21 + 7v (-21 + -14v) + -8v = -21 + 7v Combine like terms: -14v + -8v = -22v -21 + -22v = -21 + 7v Add '21' to each side of the equation. -21 + 21 + -22v = -21 + 21 + 7v Combine like terms: -21 + 21 = 0 0 + -22v = -21 + 21 + 7v -22v = -21 + 21 + 7v Combine like terms: -21 + 21 = 0 -22v = 0 + 7v -22v = 7v Solving -22v = 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -22v + -7v = 7v + -7v Combine like terms: -22v + -7v = -29v -29v = 7v + -7v Combine like terms: 7v + -7v = 0 -29v = 0 Divide each side by '-29'. v = 0 Simplifying v = 0
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