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Simplifying -5(v + 4) + 2v + 6 = 7v + 11 Reorder the terms: -5(4 + v) + 2v + 6 = 7v + 11 (4 * -5 + v * -5) + 2v + 6 = 7v + 11 (-20 + -5v) + 2v + 6 = 7v + 11 Reorder the terms: -20 + 6 + -5v + 2v = 7v + 11 Combine like terms: -20 + 6 = -14 -14 + -5v + 2v = 7v + 11 Combine like terms: -5v + 2v = -3v -14 + -3v = 7v + 11 Reorder the terms: -14 + -3v = 11 + 7v Solving -14 + -3v = 11 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -14 + -3v + -7v = 11 + 7v + -7v Combine like terms: -3v + -7v = -10v -14 + -10v = 11 + 7v + -7v Combine like terms: 7v + -7v = 0 -14 + -10v = 11 + 0 -14 + -10v = 11 Add '14' to each side of the equation. -14 + 14 + -10v = 11 + 14 Combine like terms: -14 + 14 = 0 0 + -10v = 11 + 14 -10v = 11 + 14 Combine like terms: 11 + 14 = 25 -10v = 25 Divide each side by '-10'. v = -2.5 Simplifying v = -2.5
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