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Simplifying 6(3v + 1) + 5 = 33 + 7v Reorder the terms: 6(1 + 3v) + 5 = 33 + 7v (1 * 6 + 3v * 6) + 5 = 33 + 7v (6 + 18v) + 5 = 33 + 7v Reorder the terms: 6 + 5 + 18v = 33 + 7v Combine like terms: 6 + 5 = 11 11 + 18v = 33 + 7v Solving 11 + 18v = 33 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 11 + 18v + -7v = 33 + 7v + -7v Combine like terms: 18v + -7v = 11v 11 + 11v = 33 + 7v + -7v Combine like terms: 7v + -7v = 0 11 + 11v = 33 + 0 11 + 11v = 33 Add '-11' to each side of the equation. 11 + -11 + 11v = 33 + -11 Combine like terms: 11 + -11 = 0 0 + 11v = 33 + -11 11v = 33 + -11 Combine like terms: 33 + -11 = 22 11v = 22 Divide each side by '11'. v = 2 Simplifying v = 2
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