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Simplifying 5(2 + v) = 10 + 4(v + 1) (2 * 5 + v * 5) = 10 + 4(v + 1) (10 + 5v) = 10 + 4(v + 1) Reorder the terms: 10 + 5v = 10 + 4(1 + v) 10 + 5v = 10 + (1 * 4 + v * 4) 10 + 5v = 10 + (4 + 4v) Combine like terms: 10 + 4 = 14 10 + 5v = 14 + 4v Solving 10 + 5v = 14 + 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. 10 + 5v + -4v = 14 + 4v + -4v Combine like terms: 5v + -4v = 1v 10 + 1v = 14 + 4v + -4v Combine like terms: 4v + -4v = 0 10 + 1v = 14 + 0 10 + 1v = 14 Add '-10' to each side of the equation. 10 + -10 + 1v = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 1v = 14 + -10 1v = 14 + -10 Combine like terms: 14 + -10 = 4 1v = 4 Divide each side by '1'. v = 4 Simplifying v = 4
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