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Simplifying 3(v + 2) + 2 = 4(v + -1) + 9 Reorder the terms: 3(2 + v) + 2 = 4(v + -1) + 9 (2 * 3 + v * 3) + 2 = 4(v + -1) + 9 (6 + 3v) + 2 = 4(v + -1) + 9 Reorder the terms: 6 + 2 + 3v = 4(v + -1) + 9 Combine like terms: 6 + 2 = 8 8 + 3v = 4(v + -1) + 9 Reorder the terms: 8 + 3v = 4(-1 + v) + 9 8 + 3v = (-1 * 4 + v * 4) + 9 8 + 3v = (-4 + 4v) + 9 Reorder the terms: 8 + 3v = -4 + 9 + 4v Combine like terms: -4 + 9 = 5 8 + 3v = 5 + 4v Solving 8 + 3v = 5 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 8 + 3v + -4v = 5 + 4v + -4v Combine like terms: 3v + -4v = -1v 8 + -1v = 5 + 4v + -4v Combine like terms: 4v + -4v = 0 8 + -1v = 5 + 0 8 + -1v = 5 Add '-8' to each side of the equation. 8 + -8 + -1v = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 5 + -8 -1v = 5 + -8 Combine like terms: 5 + -8 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3
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