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Simplifying 9 + -9(-2v + 9) = 3(-8 + -10v) Reorder the terms: 9 + -9(9 + -2v) = 3(-8 + -10v) 9 + (9 * -9 + -2v * -9) = 3(-8 + -10v) 9 + (-81 + 18v) = 3(-8 + -10v) Combine like terms: 9 + -81 = -72 -72 + 18v = 3(-8 + -10v) -72 + 18v = (-8 * 3 + -10v * 3) -72 + 18v = (-24 + -30v) Solving -72 + 18v = -24 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. -72 + 18v + 30v = -24 + -30v + 30v Combine like terms: 18v + 30v = 48v -72 + 48v = -24 + -30v + 30v Combine like terms: -30v + 30v = 0 -72 + 48v = -24 + 0 -72 + 48v = -24 Add '72' to each side of the equation. -72 + 72 + 48v = -24 + 72 Combine like terms: -72 + 72 = 0 0 + 48v = -24 + 72 48v = -24 + 72 Combine like terms: -24 + 72 = 48 48v = 48 Divide each side by '48'. v = 1 Simplifying v = 1
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