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Simplifying -4(v + 3) + 2v + 7 = 6v + 6 Reorder the terms: -4(3 + v) + 2v + 7 = 6v + 6 (3 * -4 + v * -4) + 2v + 7 = 6v + 6 (-12 + -4v) + 2v + 7 = 6v + 6 Reorder the terms: -12 + 7 + -4v + 2v = 6v + 6 Combine like terms: -12 + 7 = -5 -5 + -4v + 2v = 6v + 6 Combine like terms: -4v + 2v = -2v -5 + -2v = 6v + 6 Reorder the terms: -5 + -2v = 6 + 6v Solving -5 + -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. -5 + -2v + -6v = 6 + 6v + -6v Combine like terms: -2v + -6v = -8v -5 + -8v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -5 + -8v = 6 + 0 -5 + -8v = 6 Add '5' to each side of the equation. -5 + 5 + -8v = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -8v = 6 + 5 -8v = 6 + 5 Combine like terms: 6 + 5 = 11 -8v = 11 Divide each side by '-8'. v = -1.375 Simplifying v = -1.375
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