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Simplifying 9(4 + 5v) + -5v = 10(5v + -6) + 6 (4 * 9 + 5v * 9) + -5v = 10(5v + -6) + 6 (36 + 45v) + -5v = 10(5v + -6) + 6 Combine like terms: 45v + -5v = 40v 36 + 40v = 10(5v + -6) + 6 Reorder the terms: 36 + 40v = 10(-6 + 5v) + 6 36 + 40v = (-6 * 10 + 5v * 10) + 6 36 + 40v = (-60 + 50v) + 6 Reorder the terms: 36 + 40v = -60 + 6 + 50v Combine like terms: -60 + 6 = -54 36 + 40v = -54 + 50v Solving 36 + 40v = -54 + 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. 36 + 40v + -50v = -54 + 50v + -50v Combine like terms: 40v + -50v = -10v 36 + -10v = -54 + 50v + -50v Combine like terms: 50v + -50v = 0 36 + -10v = -54 + 0 36 + -10v = -54 Add '-36' to each side of the equation. 36 + -36 + -10v = -54 + -36 Combine like terms: 36 + -36 = 0 0 + -10v = -54 + -36 -10v = -54 + -36 Combine like terms: -54 + -36 = -90 -10v = -90 Divide each side by '-10'. v = 9 Simplifying v = 9
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