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Simplifying -1 = -7v + 4(v + 5) Reorder the terms: -1 = -7v + 4(5 + v) -1 = -7v + (5 * 4 + v * 4) -1 = -7v + (20 + 4v) Reorder the terms: -1 = 20 + -7v + 4v Combine like terms: -7v + 4v = -3v -1 = 20 + -3v Solving -1 = 20 + -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. -1 + 3v = 20 + -3v + 3v Combine like terms: -3v + 3v = 0 -1 + 3v = 20 + 0 -1 + 3v = 20 Add '1' to each side of the equation. -1 + 1 + 3v = 20 + 1 Combine like terms: -1 + 1 = 0 0 + 3v = 20 + 1 3v = 20 + 1 Combine like terms: 20 + 1 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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