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Simplifying -6(v + 3) + 3v + 7 = 5v + 6 Reorder the terms: -6(3 + v) + 3v + 7 = 5v + 6 (3 * -6 + v * -6) + 3v + 7 = 5v + 6 (-18 + -6v) + 3v + 7 = 5v + 6 Reorder the terms: -18 + 7 + -6v + 3v = 5v + 6 Combine like terms: -18 + 7 = -11 -11 + -6v + 3v = 5v + 6 Combine like terms: -6v + 3v = -3v -11 + -3v = 5v + 6 Reorder the terms: -11 + -3v = 6 + 5v Solving -11 + -3v = 6 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -11 + -3v + -5v = 6 + 5v + -5v Combine like terms: -3v + -5v = -8v -11 + -8v = 6 + 5v + -5v Combine like terms: 5v + -5v = 0 -11 + -8v = 6 + 0 -11 + -8v = 6 Add '11' to each side of the equation. -11 + 11 + -8v = 6 + 11 Combine like terms: -11 + 11 = 0 0 + -8v = 6 + 11 -8v = 6 + 11 Combine like terms: 6 + 11 = 17 -8v = 17 Divide each side by '-8'. v = -2.125 Simplifying v = -2.125
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