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Simplifying -5v + 1 = -3(v + 1) Reorder the terms: 1 + -5v = -3(v + 1) Reorder the terms: 1 + -5v = -3(1 + v) 1 + -5v = (1 * -3 + v * -3) 1 + -5v = (-3 + -3v) Solving 1 + -5v = -3 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 1 + -5v + 3v = -3 + -3v + 3v Combine like terms: -5v + 3v = -2v 1 + -2v = -3 + -3v + 3v Combine like terms: -3v + 3v = 0 1 + -2v = -3 + 0 1 + -2v = -3 Add '-1' to each side of the equation. 1 + -1 + -2v = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = -3 + -1 -2v = -3 + -1 Combine like terms: -3 + -1 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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