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Simplifying 21 + 7v = 7(2v + -4) Reorder the terms: 21 + 7v = 7(-4 + 2v) 21 + 7v = (-4 * 7 + 2v * 7) 21 + 7v = (-28 + 14v) Solving 21 + 7v = -28 + 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 + 7v + -14v = -28 + 14v + -14v Combine like terms: 7v + -14v = -7v 21 + -7v = -28 + 14v + -14v Combine like terms: 14v + -14v = 0 21 + -7v = -28 + 0 21 + -7v = -28 Add '-21' to each side of the equation. 21 + -21 + -7v = -28 + -21 Combine like terms: 21 + -21 = 0 0 + -7v = -28 + -21 -7v = -28 + -21 Combine like terms: -28 + -21 = -49 -7v = -49 Divide each side by '-7'. v = 7 Simplifying v = 7
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