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Simplifying -6(5v + -6) + 7v = 6v + 36 Reorder the terms: -6(-6 + 5v) + 7v = 6v + 36 (-6 * -6 + 5v * -6) + 7v = 6v + 36 (36 + -30v) + 7v = 6v + 36 Combine like terms: -30v + 7v = -23v 36 + -23v = 6v + 36 Reorder the terms: 36 + -23v = 36 + 6v Add '-36' to each side of the equation. 36 + -36 + -23v = 36 + -36 + 6v Combine like terms: 36 + -36 = 0 0 + -23v = 36 + -36 + 6v -23v = 36 + -36 + 6v Combine like terms: 36 + -36 = 0 -23v = 0 + 6v -23v = 6v Solving -23v = 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -23v + -6v = 6v + -6v Combine like terms: -23v + -6v = -29v -29v = 6v + -6v Combine like terms: 6v + -6v = 0 -29v = 0 Divide each side by '-29'. v = 0 Simplifying v = 0
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