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Simplifying 7(v + -4) = -4v + 5 Reorder the terms: 7(-4 + v) = -4v + 5 (-4 * 7 + v * 7) = -4v + 5 (-28 + 7v) = -4v + 5 Reorder the terms: -28 + 7v = 5 + -4v Solving -28 + 7v = 5 + -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 = 5 + -4v + 4v Combine like terms: 7v + 4v = 11v -28 + 11v = 5 + -4v + 4v Combine like terms: -4v + 4v = 0 -28 + 11v = 5 + 0 -28 + 11v = 5 Add '28' to each side of the equation. -28 + 28 + 11v = 5 + 28 Combine like terms: -28 + 28 = 0 0 + 11v = 5 + 28 11v = 5 + 28 Combine like terms: 5 + 28 = 33 11v = 33 Divide each side by '11'. v = 3 Simplifying v = 3
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