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Simplifying -3v + 28 = -7(v + -8) Reorder the terms: 28 + -3v = -7(v + -8) Reorder the terms: 28 + -3v = -7(-8 + v) 28 + -3v = (-8 * -7 + v * -7) 28 + -3v = (56 + -7v) Solving 28 + -3v = 56 + -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. 28 + -3v + 7v = 56 + -7v + 7v Combine like terms: -3v + 7v = 4v 28 + 4v = 56 + -7v + 7v Combine like terms: -7v + 7v = 0 28 + 4v = 56 + 0 28 + 4v = 56 Add '-28' to each side of the equation. 28 + -28 + 4v = 56 + -28 Combine like terms: 28 + -28 = 0 0 + 4v = 56 + -28 4v = 56 + -28 Combine like terms: 56 + -28 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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