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Simplifying -63 = -7(v + 8) Reorder the terms: -63 = -7(8 + v) -63 = (8 * -7 + v * -7) -63 = (-56 + -7v) Solving -63 = -56 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -63 + 7v = -56 + -7v + 7v Combine like terms: -7v + 7v = 0 -63 + 7v = -56 + 0 -63 + 7v = -56 Add '63' to each side of the equation. -63 + 63 + 7v = -56 + 63 Combine like terms: -63 + 63 = 0 0 + 7v = -56 + 63 7v = -56 + 63 Combine like terms: -56 + 63 = 7 7v = 7 Divide each side by '7'. v = 1 Simplifying v = 1
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