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Simplifying 15(6v + 2) = 10(4v + 7) Reorder the terms: 15(2 + 6v) = 10(4v + 7) (2 * 15 + 6v * 15) = 10(4v + 7) (30 + 90v) = 10(4v + 7) Reorder the terms: 30 + 90v = 10(7 + 4v) 30 + 90v = (7 * 10 + 4v * 10) 30 + 90v = (70 + 40v) Solving 30 + 90v = 70 + 40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40v' to each side of the equation. 30 + 90v + -40v = 70 + 40v + -40v Combine like terms: 90v + -40v = 50v 30 + 50v = 70 + 40v + -40v Combine like terms: 40v + -40v = 0 30 + 50v = 70 + 0 30 + 50v = 70 Add '-30' to each side of the equation. 30 + -30 + 50v = 70 + -30 Combine like terms: 30 + -30 = 0 0 + 50v = 70 + -30 50v = 70 + -30 Combine like terms: 70 + -30 = 40 50v = 40 Divide each side by '50'. v = 0.8 Simplifying v = 0.8
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