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Simplifying -6(v + 3) + 4v + 7 = 6v + 6 Reorder the terms: -6(3 + v) + 4v + 7 = 6v + 6 (3 * -6 + v * -6) + 4v + 7 = 6v + 6 (-18 + -6v) + 4v + 7 = 6v + 6 Reorder the terms: -18 + 7 + -6v + 4v = 6v + 6 Combine like terms: -18 + 7 = -11 -11 + -6v + 4v = 6v + 6 Combine like terms: -6v + 4v = -2v -11 + -2v = 6v + 6 Reorder the terms: -11 + -2v = 6 + 6v Solving -11 + -2v = 6 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -11 + -2v + -6v = 6 + 6v + -6v Combine like terms: -2v + -6v = -8v -11 + -8v = 6 + 6v + -6v Combine like terms: 6v + -6v = 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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