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Simplifying (11v + 5) + -1(4v + 3) = 72 Reorder the terms: (5 + 11v) + -1(4v + 3) = 72 Remove parenthesis around (5 + 11v) 5 + 11v + -1(4v + 3) = 72 Reorder the terms: 5 + 11v + -1(3 + 4v) = 72 5 + 11v + (3 * -1 + 4v * -1) = 72 5 + 11v + (-3 + -4v) = 72 Reorder the terms: 5 + -3 + 11v + -4v = 72 Combine like terms: 5 + -3 = 2 2 + 11v + -4v = 72 Combine like terms: 11v + -4v = 7v 2 + 7v = 72 Solving 2 + 7v = 72 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7v = 72 + -2 Combine like terms: 2 + -2 = 0 0 + 7v = 72 + -2 7v = 72 + -2 Combine like terms: 72 + -2 = 70 7v = 70 Divide each side by '7'. v = 10 Simplifying v = 10
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