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