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Simplifying -2v + 16 = 7(v + -7) Reorder the terms: 16 + -2v = 7(v + -7) Reorder the terms: 16 + -2v = 7(-7 + v) 16 + -2v = (-7 * 7 + v * 7) 16 + -2v = (-49 + 7v) Solving 16 + -2v = -49 + 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. 16 + -2v + -7v = -49 + 7v + -7v Combine like terms: -2v + -7v = -9v 16 + -9v = -49 + 7v + -7v Combine like terms: 7v + -7v = 0 16 + -9v = -49 + 0 16 + -9v = -49 Add '-16' to each side of the equation. 16 + -16 + -9v = -49 + -16 Combine like terms: 16 + -16 = 0 0 + -9v = -49 + -16 -9v = -49 + -16 Combine like terms: -49 + -16 = -65 -9v = -65 Divide each side by '-9'. v = 7.222222222 Simplifying v = 7.222222222
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