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Simplifying -9v + 36 = 6(v + -9) Reorder the terms: 36 + -9v = 6(v + -9) Reorder the terms: 36 + -9v = 6(-9 + v) 36 + -9v = (-9 * 6 + v * 6) 36 + -9v = (-54 + 6v) Solving 36 + -9v = -54 + 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. 36 + -9v + -6v = -54 + 6v + -6v Combine like terms: -9v + -6v = -15v 36 + -15v = -54 + 6v + -6v Combine like terms: 6v + -6v = 0 36 + -15v = -54 + 0 36 + -15v = -54 Add '-36' to each side of the equation. 36 + -36 + -15v = -54 + -36 Combine like terms: 36 + -36 = 0 0 + -15v = -54 + -36 -15v = -54 + -36 Combine like terms: -54 + -36 = -90 -15v = -90 Divide each side by '-15'. v = 6 Simplifying v = 6
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