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Simplifying 14(x + 3) + -2v = 4(3v + 1) + -9 Reorder the terms: 14(3 + x) + -2v = 4(3v + 1) + -9 (3 * 14 + x * 14) + -2v = 4(3v + 1) + -9 (42 + 14x) + -2v = 4(3v + 1) + -9 Reorder the terms: 42 + -2v + 14x = 4(3v + 1) + -9 Reorder the terms: 42 + -2v + 14x = 4(1 + 3v) + -9 42 + -2v + 14x = (1 * 4 + 3v * 4) + -9 42 + -2v + 14x = (4 + 12v) + -9 Reorder the terms: 42 + -2v + 14x = 4 + -9 + 12v Combine like terms: 4 + -9 = -5 42 + -2v + 14x = -5 + 12v Solving 42 + -2v + 14x = -5 + 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. 42 + -2v + -12v + 14x = -5 + 12v + -12v Combine like terms: -2v + -12v = -14v 42 + -14v + 14x = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 42 + -14v + 14x = -5 + 0 42 + -14v + 14x = -5 Add '-42' to each side of the equation. 42 + -14v + -42 + 14x = -5 + -42 Reorder the terms: 42 + -42 + -14v + 14x = -5 + -42 Combine like terms: 42 + -42 = 0 0 + -14v + 14x = -5 + -42 -14v + 14x = -5 + -42 Combine like terms: -5 + -42 = -47 -14v + 14x = -47 Add '-14x' to each side of the equation. -14v + 14x + -14x = -47 + -14x Combine like terms: 14x + -14x = 0 -14v + 0 = -47 + -14x -14v = -47 + -14x Divide each side by '-14'. v = 3.357142857 + x Simplifying v = 3.357142857 + x
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