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Simplifying 4(v + 9) = 9(7v + 4) Reorder the terms: 4(9 + v) = 9(7v + 4) (9 * 4 + v * 4) = 9(7v + 4) (36 + 4v) = 9(7v + 4) Reorder the terms: 36 + 4v = 9(4 + 7v) 36 + 4v = (4 * 9 + 7v * 9) 36 + 4v = (36 + 63v) Add '-36' to each side of the equation. 36 + -36 + 4v = 36 + -36 + 63v Combine like terms: 36 + -36 = 0 0 + 4v = 36 + -36 + 63v 4v = 36 + -36 + 63v Combine like terms: 36 + -36 = 0 4v = 0 + 63v 4v = 63v Solving 4v = 63v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-63v' to each side of the equation. 4v + -63v = 63v + -63v Combine like terms: 4v + -63v = -59v -59v = 63v + -63v Combine like terms: 63v + -63v = 0 -59v = 0 Divide each side by '-59'. v = 0 Simplifying v = 0
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