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