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Simplifying 11 = 4(v + 8) + -7v Reorder the terms: 11 = 4(8 + v) + -7v 11 = (8 * 4 + v * 4) + -7v 11 = (32 + 4v) + -7v Combine like terms: 4v + -7v = -3v 11 = 32 + -3v Solving 11 = 32 + -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. 11 + 3v = 32 + -3v + 3v Combine like terms: -3v + 3v = 0 11 + 3v = 32 + 0 11 + 3v = 32 Add '-11' to each side of the equation. 11 + -11 + 3v = 32 + -11 Combine like terms: 11 + -11 = 0 0 + 3v = 32 + -11 3v = 32 + -11 Combine like terms: 32 + -11 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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