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Simplifying 10 = 3(v + 7) + 8v Reorder the terms: 10 = 3(7 + v) + 8v 10 = (7 * 3 + v * 3) + 8v 10 = (21 + 3v) + 8v Combine like terms: 3v + 8v = 11v 10 = 21 + 11v Solving 10 = 21 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 10 + -11v = 21 + 11v + -11v Combine like terms: 11v + -11v = 0 10 + -11v = 21 + 0 10 + -11v = 21 Add '-10' to each side of the equation. 10 + -10 + -11v = 21 + -10 Combine like terms: 10 + -10 = 0 0 + -11v = 21 + -10 -11v = 21 + -10 Combine like terms: 21 + -10 = 11 -11v = 11 Divide each side by '-11'. v = -1 Simplifying v = -1
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