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Simplifying -8(v + 9) = 4v + -48 Reorder the terms: -8(9 + v) = 4v + -48 (9 * -8 + v * -8) = 4v + -48 (-72 + -8v) = 4v + -48 Reorder the terms: -72 + -8v = -48 + 4v Solving -72 + -8v = -48 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -72 + -8v + -4v = -48 + 4v + -4v Combine like terms: -8v + -4v = -12v -72 + -12v = -48 + 4v + -4v Combine like terms: 4v + -4v = 0 -72 + -12v = -48 + 0 -72 + -12v = -48 Add '72' to each side of the equation. -72 + 72 + -12v = -48 + 72 Combine like terms: -72 + 72 = 0 0 + -12v = -48 + 72 -12v = -48 + 72 Combine like terms: -48 + 72 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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