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Simplifying 11 = 2(1[v + 4] * 1) + -5v Reorder the terms: 11 = 2(1[4 + v] * 1) + -5v Reorder the terms for easier multiplication: 11 = 2(1 * 1[4 + v]) + -5v Multiply 1 * 1 11 = 2(1[4 + v]) + -5v 11 = 2([4 * 1 + v * 1]) + -5v 11 = 2([4 + 1v]) + -5v 11 = (4 * 2 + 1v * 2) + -5v 11 = (8 + 2v) + -5v Combine like terms: 2v + -5v = -3v 11 = 8 + -3v Solving 11 = 8 + -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 = 8 + -3v + 3v Combine like terms: -3v + 3v = 0 11 + 3v = 8 + 0 11 + 3v = 8 Add '-11' to each side of the equation. 11 + -11 + 3v = 8 + -11 Combine like terms: 11 + -11 = 0 0 + 3v = 8 + -11 3v = 8 + -11 Combine like terms: 8 + -11 = -3 3v = -3 Divide each side by '3'. v = -1 Simplifying v = -1
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