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Simplifying -2v + -41 = 7(v + -2) Reorder the terms: -41 + -2v = 7(v + -2) Reorder the terms: -41 + -2v = 7(-2 + v) -41 + -2v = (-2 * 7 + v * 7) -41 + -2v = (-14 + 7v) Solving -41 + -2v = -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. -41 + -2v + -7v = -14 + 7v + -7v Combine like terms: -2v + -7v = -9v -41 + -9v = -14 + 7v + -7v Combine like terms: 7v + -7v = 0 -41 + -9v = -14 + 0 -41 + -9v = -14 Add '41' to each side of the equation. -41 + 41 + -9v = -14 + 41 Combine like terms: -41 + 41 = 0 0 + -9v = -14 + 41 -9v = -14 + 41 Combine like terms: -14 + 41 = 27 -9v = 27 Divide each side by '-9'. v = -3 Simplifying v = -3
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