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Simplifying 41 = 3(3v + -4) + -2 Reorder the terms: 41 = 3(-4 + 3v) + -2 41 = (-4 * 3 + 3v * 3) + -2 41 = (-12 + 9v) + -2 Reorder the terms: 41 = -12 + -2 + 9v Combine like terms: -12 + -2 = -14 41 = -14 + 9v Solving 41 = -14 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 41 + -9v = -14 + 9v + -9v Combine like terms: 9v + -9v = 0 41 + -9v = -14 + 0 41 + -9v = -14 Add '-41' to each side of the equation. 41 + -41 + -9v = -14 + -41 Combine like terms: 41 + -41 = 0 0 + -9v = -14 + -41 -9v = -14 + -41 Combine like terms: -14 + -41 = -55 -9v = -55 Divide each side by '-9'. v = 6.111111111 Simplifying v = 6.111111111
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