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Simplifying 18(x + 3) + -2v = 4(4v + 2) + -11 Reorder the terms: 18(3 + x) + -2v = 4(4v + 2) + -11 (3 * 18 + x * 18) + -2v = 4(4v + 2) + -11 (54 + 18x) + -2v = 4(4v + 2) + -11 Reorder the terms: 54 + -2v + 18x = 4(4v + 2) + -11 Reorder the terms: 54 + -2v + 18x = 4(2 + 4v) + -11 54 + -2v + 18x = (2 * 4 + 4v * 4) + -11 54 + -2v + 18x = (8 + 16v) + -11 Reorder the terms: 54 + -2v + 18x = 8 + -11 + 16v Combine like terms: 8 + -11 = -3 54 + -2v + 18x = -3 + 16v Solving 54 + -2v + 18x = -3 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 54 + -2v + -16v + 18x = -3 + 16v + -16v Combine like terms: -2v + -16v = -18v 54 + -18v + 18x = -3 + 16v + -16v Combine like terms: 16v + -16v = 0 54 + -18v + 18x = -3 + 0 54 + -18v + 18x = -3 Add '-54' to each side of the equation. 54 + -18v + -54 + 18x = -3 + -54 Reorder the terms: 54 + -54 + -18v + 18x = -3 + -54 Combine like terms: 54 + -54 = 0 0 + -18v + 18x = -3 + -54 -18v + 18x = -3 + -54 Combine like terms: -3 + -54 = -57 -18v + 18x = -57 Add '-18x' to each side of the equation. -18v + 18x + -18x = -57 + -18x Combine like terms: 18x + -18x = 0 -18v + 0 = -57 + -18x -18v = -57 + -18x Divide each side by '-18'. v = 3.166666667 + x Simplifying v = 3.166666667 + x
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