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Simplifying 9(6v + 10) = 5(10v + 7) + -9 Reorder the terms: 9(10 + 6v) = 5(10v + 7) + -9 (10 * 9 + 6v * 9) = 5(10v + 7) + -9 (90 + 54v) = 5(10v + 7) + -9 Reorder the terms: 90 + 54v = 5(7 + 10v) + -9 90 + 54v = (7 * 5 + 10v * 5) + -9 90 + 54v = (35 + 50v) + -9 Reorder the terms: 90 + 54v = 35 + -9 + 50v Combine like terms: 35 + -9 = 26 90 + 54v = 26 + 50v Solving 90 + 54v = 26 + 50v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-50v' to each side of the equation. 90 + 54v + -50v = 26 + 50v + -50v Combine like terms: 54v + -50v = 4v 90 + 4v = 26 + 50v + -50v Combine like terms: 50v + -50v = 0 90 + 4v = 26 + 0 90 + 4v = 26 Add '-90' to each side of the equation. 90 + -90 + 4v = 26 + -90 Combine like terms: 90 + -90 = 0 0 + 4v = 26 + -90 4v = 26 + -90 Combine like terms: 26 + -90 = -64 4v = -64 Divide each side by '4'. v = -16 Simplifying v = -16
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