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Simplifying -5(v + 9) = 5v + -25 Reorder the terms: -5(9 + v) = 5v + -25 (9 * -5 + v * -5) = 5v + -25 (-45 + -5v) = 5v + -25 Reorder the terms: -45 + -5v = -25 + 5v Solving -45 + -5v = -25 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -45 + -5v + -5v = -25 + 5v + -5v Combine like terms: -5v + -5v = -10v -45 + -10v = -25 + 5v + -5v Combine like terms: 5v + -5v = 0 -45 + -10v = -25 + 0 -45 + -10v = -25 Add '45' to each side of the equation. -45 + 45 + -10v = -25 + 45 Combine like terms: -45 + 45 = 0 0 + -10v = -25 + 45 -10v = -25 + 45 Combine like terms: -25 + 45 = 20 -10v = 20 Divide each side by '-10'. v = -2 Simplifying v = -2
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