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Simplifying -3v + 5 = -7(v + -3) Reorder the terms: 5 + -3v = -7(v + -3) Reorder the terms: 5 + -3v = -7(-3 + v) 5 + -3v = (-3 * -7 + v * -7) 5 + -3v = (21 + -7v) Solving 5 + -3v = 21 + -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. 5 + -3v + 7v = 21 + -7v + 7v Combine like terms: -3v + 7v = 4v 5 + 4v = 21 + -7v + 7v Combine like terms: -7v + 7v = 0 5 + 4v = 21 + 0 5 + 4v = 21 Add '-5' to each side of the equation. 5 + -5 + 4v = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 4v = 21 + -5 4v = 21 + -5 Combine like terms: 21 + -5 = 16 4v = 16 Divide each side by '4'. v = 4 Simplifying v = 4
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