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Simplifying 21 + -5v = 8(6v + -9) Reorder the terms: 21 + -5v = 8(-9 + 6v) 21 + -5v = (-9 * 8 + 6v * 8) 21 + -5v = (-72 + 48v) Solving 21 + -5v = -72 + 48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48v' to each side of the equation. 21 + -5v + -48v = -72 + 48v + -48v Combine like terms: -5v + -48v = -53v 21 + -53v = -72 + 48v + -48v Combine like terms: 48v + -48v = 0 21 + -53v = -72 + 0 21 + -53v = -72 Add '-21' to each side of the equation. 21 + -21 + -53v = -72 + -21 Combine like terms: 21 + -21 = 0 0 + -53v = -72 + -21 -53v = -72 + -21 Combine like terms: -72 + -21 = -93 -53v = -93 Divide each side by '-53'. v = 1.754716981 Simplifying v = 1.754716981
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