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Simplifying -4(v + 4) + 2v + 6 = 5v + 7 Reorder the terms: -4(4 + v) + 2v + 6 = 5v + 7 (4 * -4 + v * -4) + 2v + 6 = 5v + 7 (-16 + -4v) + 2v + 6 = 5v + 7 Reorder the terms: -16 + 6 + -4v + 2v = 5v + 7 Combine like terms: -16 + 6 = -10 -10 + -4v + 2v = 5v + 7 Combine like terms: -4v + 2v = -2v -10 + -2v = 5v + 7 Reorder the terms: -10 + -2v = 7 + 5v Solving -10 + -2v = 7 + 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. -10 + -2v + -5v = 7 + 5v + -5v Combine like terms: -2v + -5v = -7v -10 + -7v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 -10 + -7v = 7 + 0 -10 + -7v = 7 Add '10' to each side of the equation. -10 + 10 + -7v = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -7v = 7 + 10 -7v = 7 + 10 Combine like terms: 7 + 10 = 17 -7v = 17 Divide each side by '-7'. v = -2.428571429 Simplifying v = -2.428571429
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