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Simplifying 18(v + 1) + -2v = 4(v + 2) + -11 Reorder the terms: 18(1 + v) + -2v = 4(v + 2) + -11 (1 * 18 + v * 18) + -2v = 4(v + 2) + -11 (18 + 18v) + -2v = 4(v + 2) + -11 Combine like terms: 18v + -2v = 16v 18 + 16v = 4(v + 2) + -11 Reorder the terms: 18 + 16v = 4(2 + v) + -11 18 + 16v = (2 * 4 + v * 4) + -11 18 + 16v = (8 + 4v) + -11 Reorder the terms: 18 + 16v = 8 + -11 + 4v Combine like terms: 8 + -11 = -3 18 + 16v = -3 + 4v Solving 18 + 16v = -3 + 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. 18 + 16v + -4v = -3 + 4v + -4v Combine like terms: 16v + -4v = 12v 18 + 12v = -3 + 4v + -4v Combine like terms: 4v + -4v = 0 18 + 12v = -3 + 0 18 + 12v = -3 Add '-18' to each side of the equation. 18 + -18 + 12v = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 12v = -3 + -18 12v = -3 + -18 Combine like terms: -3 + -18 = -21 12v = -21 Divide each side by '12'. v = -1.75 Simplifying v = -1.75
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