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Simplifying -2(v + 3) = 3(v + 4) + 7 Reorder the terms: -2(3 + v) = 3(v + 4) + 7 (3 * -2 + v * -2) = 3(v + 4) + 7 (-6 + -2v) = 3(v + 4) + 7 Reorder the terms: -6 + -2v = 3(4 + v) + 7 -6 + -2v = (4 * 3 + v * 3) + 7 -6 + -2v = (12 + 3v) + 7 Reorder the terms: -6 + -2v = 12 + 7 + 3v Combine like terms: 12 + 7 = 19 -6 + -2v = 19 + 3v Solving -6 + -2v = 19 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -6 + -2v + -3v = 19 + 3v + -3v Combine like terms: -2v + -3v = -5v -6 + -5v = 19 + 3v + -3v Combine like terms: 3v + -3v = 0 -6 + -5v = 19 + 0 -6 + -5v = 19 Add '6' to each side of the equation. -6 + 6 + -5v = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -5v = 19 + 6 -5v = 19 + 6 Combine like terms: 19 + 6 = 25 -5v = 25 Divide each side by '-5'. v = -5 Simplifying v = -5
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