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Simplifying -63 = -9(v + 5) Reorder the terms: -63 = -9(5 + v) -63 = (5 * -9 + v * -9) -63 = (-45 + -9v) Solving -63 = -45 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -63 + 9v = -45 + -9v + 9v Combine like terms: -9v + 9v = 0 -63 + 9v = -45 + 0 -63 + 9v = -45 Add '63' to each side of the equation. -63 + 63 + 9v = -45 + 63 Combine like terms: -63 + 63 = 0 0 + 9v = -45 + 63 9v = -45 + 63 Combine like terms: -45 + 63 = 18 9v = 18 Divide each side by '9'. v = 2 Simplifying v = 2
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