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Simplifying -6(v + 9) = 6v + -18 Reorder the terms: -6(9 + v) = 6v + -18 (9 * -6 + v * -6) = 6v + -18 (-54 + -6v) = 6v + -18 Reorder the terms: -54 + -6v = -18 + 6v Solving -54 + -6v = -18 + 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 + -6v + -6v = -18 + 6v + -6v Combine like terms: -6v + -6v = -12v -54 + -12v = -18 + 6v + -6v Combine like terms: 6v + -6v = 0 -54 + -12v = -18 + 0 -54 + -12v = -18 Add '54' to each side of the equation. -54 + 54 + -12v = -18 + 54 Combine like terms: -54 + 54 = 0 0 + -12v = -18 + 54 -12v = -18 + 54 Combine like terms: -18 + 54 = 36 -12v = 36 Divide each side by '-12'. v = -3 Simplifying v = -3
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