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