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Simplifying -4(v + 3) + 2v + 5 = 6v + 11 Reorder the terms: -4(3 + v) + 2v + 5 = 6v + 11 (3 * -4 + v * -4) + 2v + 5 = 6v + 11 (-12 + -4v) + 2v + 5 = 6v + 11 Reorder the terms: -12 + 5 + -4v + 2v = 6v + 11 Combine like terms: -12 + 5 = -7 -7 + -4v + 2v = 6v + 11 Combine like terms: -4v + 2v = -2v -7 + -2v = 6v + 11 Reorder the terms: -7 + -2v = 11 + 6v Solving -7 + -2v = 11 + 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. -7 + -2v + -6v = 11 + 6v + -6v Combine like terms: -2v + -6v = -8v -7 + -8v = 11 + 6v + -6v Combine like terms: 6v + -6v = 0 -7 + -8v = 11 + 0 -7 + -8v = 11 Add '7' to each side of the equation. -7 + 7 + -8v = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -8v = 11 + 7 -8v = 11 + 7 Combine like terms: 11 + 7 = 18 -8v = 18 Divide each side by '-8'. v = -2.25 Simplifying v = -2.25
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