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Simplifying 7(v + -4) = 3v + 72 Reorder the terms: 7(-4 + v) = 3v + 72 (-4 * 7 + v * 7) = 3v + 72 (-28 + 7v) = 3v + 72 Reorder the terms: -28 + 7v = 72 + 3v Solving -28 + 7v = 72 + 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. -28 + 7v + -3v = 72 + 3v + -3v Combine like terms: 7v + -3v = 4v -28 + 4v = 72 + 3v + -3v Combine like terms: 3v + -3v = 0 -28 + 4v = 72 + 0 -28 + 4v = 72 Add '28' to each side of the equation. -28 + 28 + 4v = 72 + 28 Combine like terms: -28 + 28 = 0 0 + 4v = 72 + 28 4v = 72 + 28 Combine like terms: 72 + 28 = 100 4v = 100 Divide each side by '4'. v = 25 Simplifying v = 25
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