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Simplifying -9(v + -4) = 4v + 10 Reorder the terms: -9(-4 + v) = 4v + 10 (-4 * -9 + v * -9) = 4v + 10 (36 + -9v) = 4v + 10 Reorder the terms: 36 + -9v = 10 + 4v Solving 36 + -9v = 10 + 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. 36 + -9v + -4v = 10 + 4v + -4v Combine like terms: -9v + -4v = -13v 36 + -13v = 10 + 4v + -4v Combine like terms: 4v + -4v = 0 36 + -13v = 10 + 0 36 + -13v = 10 Add '-36' to each side of the equation. 36 + -36 + -13v = 10 + -36 Combine like terms: 36 + -36 = 0 0 + -13v = 10 + -36 -13v = 10 + -36 Combine like terms: 10 + -36 = -26 -13v = -26 Divide each side by '-13'. v = 2 Simplifying v = 2
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