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Simplifying 3(2 + x) + -4v = v + 16 (2 * 3 + x * 3) + -4v = v + 16 (6 + 3x) + -4v = v + 16 Reorder the terms: 6 + -4v + 3x = v + 16 Reorder the terms: 6 + -4v + 3x = 16 + v Solving 6 + -4v + 3x = 16 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 6 + -4v + -1v + 3x = 16 + v + -1v Combine like terms: -4v + -1v = -5v 6 + -5v + 3x = 16 + v + -1v Combine like terms: v + -1v = 0 6 + -5v + 3x = 16 + 0 6 + -5v + 3x = 16 Add '-6' to each side of the equation. 6 + -5v + -6 + 3x = 16 + -6 Reorder the terms: 6 + -6 + -5v + 3x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -5v + 3x = 16 + -6 -5v + 3x = 16 + -6 Combine like terms: 16 + -6 = 10 -5v + 3x = 10 Add '-3x' to each side of the equation. -5v + 3x + -3x = 10 + -3x Combine like terms: 3x + -3x = 0 -5v + 0 = 10 + -3x -5v = 10 + -3x Divide each side by '-5'. v = -2 + 0.6x Simplifying v = -2 + 0.6x
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