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Simplifying -4(v + 4) + 2v + 5 = 7v + 10 Reorder the terms: -4(4 + v) + 2v + 5 = 7v + 10 (4 * -4 + v * -4) + 2v + 5 = 7v + 10 (-16 + -4v) + 2v + 5 = 7v + 10 Reorder the terms: -16 + 5 + -4v + 2v = 7v + 10 Combine like terms: -16 + 5 = -11 -11 + -4v + 2v = 7v + 10 Combine like terms: -4v + 2v = -2v -11 + -2v = 7v + 10 Reorder the terms: -11 + -2v = 10 + 7v Solving -11 + -2v = 10 + 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. -11 + -2v + -7v = 10 + 7v + -7v Combine like terms: -2v + -7v = -9v -11 + -9v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 -11 + -9v = 10 + 0 -11 + -9v = 10 Add '11' to each side of the equation. -11 + 11 + -9v = 10 + 11 Combine like terms: -11 + 11 = 0 0 + -9v = 10 + 11 -9v = 10 + 11 Combine like terms: 10 + 11 = 21 -9v = 21 Divide each side by '-9'. v = -2.333333333 Simplifying v = -2.333333333
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