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Simplifying -7(2v + -3) + v = 5(v + 7) Reorder the terms: -7(-3 + 2v) + v = 5(v + 7) (-3 * -7 + 2v * -7) + v = 5(v + 7) (21 + -14v) + v = 5(v + 7) Combine like terms: -14v + v = -13v 21 + -13v = 5(v + 7) Reorder the terms: 21 + -13v = 5(7 + v) 21 + -13v = (7 * 5 + v * 5) 21 + -13v = (35 + 5v) Solving 21 + -13v = 35 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 21 + -13v + -5v = 35 + 5v + -5v Combine like terms: -13v + -5v = -18v 21 + -18v = 35 + 5v + -5v Combine like terms: 5v + -5v = 0 21 + -18v = 35 + 0 21 + -18v = 35 Add '-21' to each side of the equation. 21 + -21 + -18v = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -18v = 35 + -21 -18v = 35 + -21 Combine like terms: 35 + -21 = 14 -18v = 14 Divide each side by '-18'. v = -0.7777777778 Simplifying v = -0.7777777778
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