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Simplifying -4(v + 4) + 2v + 7 = 5v + 7 Reorder the terms: -4(4 + v) + 2v + 7 = 5v + 7 (4 * -4 + v * -4) + 2v + 7 = 5v + 7 (-16 + -4v) + 2v + 7 = 5v + 7 Reorder the terms: -16 + 7 + -4v + 2v = 5v + 7 Combine like terms: -16 + 7 = -9 -9 + -4v + 2v = 5v + 7 Combine like terms: -4v + 2v = -2v -9 + -2v = 5v + 7 Reorder the terms: -9 + -2v = 7 + 5v Solving -9 + -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. -9 + -2v + -5v = 7 + 5v + -5v Combine like terms: -2v + -5v = -7v -9 + -7v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 -9 + -7v = 7 + 0 -9 + -7v = 7 Add '9' to each side of the equation. -9 + 9 + -7v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -7v = 7 + 9 -7v = 7 + 9 Combine like terms: 7 + 9 = 16 -7v = 16 Divide each side by '-7'. v = -2.285714286 Simplifying v = -2.285714286
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