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Simplifying -9(v + 8) = 4v + -46 Reorder the terms: -9(8 + v) = 4v + -46 (8 * -9 + v * -9) = 4v + -46 (-72 + -9v) = 4v + -46 Reorder the terms: -72 + -9v = -46 + 4v Solving -72 + -9v = -46 + 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 + -9v + -4v = -46 + 4v + -4v Combine like terms: -9v + -4v = -13v -72 + -13v = -46 + 4v + -4v Combine like terms: 4v + -4v = 0 -72 + -13v = -46 + 0 -72 + -13v = -46 Add '72' to each side of the equation. -72 + 72 + -13v = -46 + 72 Combine like terms: -72 + 72 = 0 0 + -13v = -46 + 72 -13v = -46 + 72 Combine like terms: -46 + 72 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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