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Simplifying -2v + 48 = -4(v + -7) Reorder the terms: 48 + -2v = -4(v + -7) Reorder the terms: 48 + -2v = -4(-7 + v) 48 + -2v = (-7 * -4 + v * -4) 48 + -2v = (28 + -4v) Solving 48 + -2v = 28 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 48 + -2v + 4v = 28 + -4v + 4v Combine like terms: -2v + 4v = 2v 48 + 2v = 28 + -4v + 4v Combine like terms: -4v + 4v = 0 48 + 2v = 28 + 0 48 + 2v = 28 Add '-48' to each side of the equation. 48 + -48 + 2v = 28 + -48 Combine like terms: 48 + -48 = 0 0 + 2v = 28 + -48 2v = 28 + -48 Combine like terms: 28 + -48 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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