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Simplifying 4(7 + -7v) = -14 + -7v (7 * 4 + -7v * 4) = -14 + -7v (28 + -28v) = -14 + -7v Solving 28 + -28v = -14 + -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. 28 + -28v + 7v = -14 + -7v + 7v Combine like terms: -28v + 7v = -21v 28 + -21v = -14 + -7v + 7v Combine like terms: -7v + 7v = 0 28 + -21v = -14 + 0 28 + -21v = -14 Add '-28' to each side of the equation. 28 + -28 + -21v = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -21v = -14 + -28 -21v = -14 + -28 Combine like terms: -14 + -28 = -42 -21v = -42 Divide each side by '-21'. v = 2 Simplifying v = 2
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