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Simplifying -1v + -4(v + -4) = 24 + -7v Reorder the terms: -1v + -4(-4 + v) = 24 + -7v -1v + (-4 * -4 + v * -4) = 24 + -7v -1v + (16 + -4v) = 24 + -7v Reorder the terms: 16 + -1v + -4v = 24 + -7v Combine like terms: -1v + -4v = -5v 16 + -5v = 24 + -7v Solving 16 + -5v = 24 + -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. 16 + -5v + 7v = 24 + -7v + 7v Combine like terms: -5v + 7v = 2v 16 + 2v = 24 + -7v + 7v Combine like terms: -7v + 7v = 0 16 + 2v = 24 + 0 16 + 2v = 24 Add '-16' to each side of the equation. 16 + -16 + 2v = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 2v = 24 + -16 2v = 24 + -16 Combine like terms: 24 + -16 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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