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Simplifying 7v + -1 = 4(v + 2) Reorder the terms: -1 + 7v = 4(v + 2) Reorder the terms: -1 + 7v = 4(2 + v) -1 + 7v = (2 * 4 + v * 4) -1 + 7v = (8 + 4v) Solving -1 + 7v = 8 + 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. -1 + 7v + -4v = 8 + 4v + -4v Combine like terms: 7v + -4v = 3v -1 + 3v = 8 + 4v + -4v Combine like terms: 4v + -4v = 0 -1 + 3v = 8 + 0 -1 + 3v = 8 Add '1' to each side of the equation. -1 + 1 + 3v = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3v = 8 + 1 3v = 8 + 1 Combine like terms: 8 + 1 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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