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Simplifying 5(v + 2) + v = (v + -1) + 1 Reorder the terms: 5(2 + v) + v = (v + -1) + 1 (2 * 5 + v * 5) + v = (v + -1) + 1 (10 + 5v) + v = (v + -1) + 1 Combine like terms: 5v + v = 6v 10 + 6v = (v + -1) + 1 Reorder the terms: 10 + 6v = (-1 + v) + 1 Remove parenthesis around (-1 + v) 10 + 6v = -1 + v + 1 Reorder the terms: 10 + 6v = -1 + 1 + v Combine like terms: -1 + 1 = 0 10 + 6v = 0 + v 10 + 6v = v Solving 10 + 6v = v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 10 + 6v + -1v = v + -1v Combine like terms: 6v + -1v = 5v 10 + 5v = v + -1v Combine like terms: v + -1v = 0 10 + 5v = 0 Add '-10' to each side of the equation. 10 + -10 + 5v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5v = 0 + -10 5v = 0 + -10 Combine like terms: 0 + -10 = -10 5v = -10 Divide each side by '5'. v = -2 Simplifying v = -2
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