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Simplifying 27 = 4v + 3(3v + -4) Reorder the terms: 27 = 4v + 3(-4 + 3v) 27 = 4v + (-4 * 3 + 3v * 3) 27 = 4v + (-12 + 9v) Reorder the terms: 27 = -12 + 4v + 9v Combine like terms: 4v + 9v = 13v 27 = -12 + 13v Solving 27 = -12 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 27 + -13v = -12 + 13v + -13v Combine like terms: 13v + -13v = 0 27 + -13v = -12 + 0 27 + -13v = -12 Add '-27' to each side of the equation. 27 + -27 + -13v = -12 + -27 Combine like terms: 27 + -27 = 0 0 + -13v = -12 + -27 -13v = -12 + -27 Combine like terms: -12 + -27 = -39 -13v = -39 Divide each side by '-13'. v = 3 Simplifying v = 3
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