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Simplifying 40 + 6v = 4(3v + 4) Reorder the terms: 40 + 6v = 4(4 + 3v) 40 + 6v = (4 * 4 + 3v * 4) 40 + 6v = (16 + 12v) Solving 40 + 6v = 16 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 40 + 6v + -12v = 16 + 12v + -12v Combine like terms: 6v + -12v = -6v 40 + -6v = 16 + 12v + -12v Combine like terms: 12v + -12v = 0 40 + -6v = 16 + 0 40 + -6v = 16 Add '-40' to each side of the equation. 40 + -40 + -6v = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -6v = 16 + -40 -6v = 16 + -40 Combine like terms: 16 + -40 = -24 -6v = -24 Divide each side by '-6'. v = 4 Simplifying v = 4
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