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Simplifying 16 + 6v = 9(4v + -3) Reorder the terms: 16 + 6v = 9(-3 + 4v) 16 + 6v = (-3 * 9 + 4v * 9) 16 + 6v = (-27 + 36v) Solving 16 + 6v = -27 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. 16 + 6v + -36v = -27 + 36v + -36v Combine like terms: 6v + -36v = -30v 16 + -30v = -27 + 36v + -36v Combine like terms: 36v + -36v = 0 16 + -30v = -27 + 0 16 + -30v = -27 Add '-16' to each side of the equation. 16 + -16 + -30v = -27 + -16 Combine like terms: 16 + -16 = 0 0 + -30v = -27 + -16 -30v = -27 + -16 Combine like terms: -27 + -16 = -43 -30v = -43 Divide each side by '-30'. v = 1.433333333 Simplifying v = 1.433333333
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