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Simplifying 7(v + -4) = 4v + -7 Reorder the terms: 7(-4 + v) = 4v + -7 (-4 * 7 + v * 7) = 4v + -7 (-28 + 7v) = 4v + -7 Reorder the terms: -28 + 7v = -7 + 4v Solving -28 + 7v = -7 + 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. -28 + 7v + -4v = -7 + 4v + -4v Combine like terms: 7v + -4v = 3v -28 + 3v = -7 + 4v + -4v Combine like terms: 4v + -4v = 0 -28 + 3v = -7 + 0 -28 + 3v = -7 Add '28' to each side of the equation. -28 + 28 + 3v = -7 + 28 Combine like terms: -28 + 28 = 0 0 + 3v = -7 + 28 3v = -7 + 28 Combine like terms: -7 + 28 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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