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Simplifying 7v + -44 = 2(v + -7) Reorder the terms: -44 + 7v = 2(v + -7) Reorder the terms: -44 + 7v = 2(-7 + v) -44 + 7v = (-7 * 2 + v * 2) -44 + 7v = (-14 + 2v) Solving -44 + 7v = -14 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -44 + 7v + -2v = -14 + 2v + -2v Combine like terms: 7v + -2v = 5v -44 + 5v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 -44 + 5v = -14 + 0 -44 + 5v = -14 Add '44' to each side of the equation. -44 + 44 + 5v = -14 + 44 Combine like terms: -44 + 44 = 0 0 + 5v = -14 + 44 5v = -14 + 44 Combine like terms: -14 + 44 = 30 5v = 30 Divide each side by '5'. v = 6 Simplifying v = 6
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