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Simplifying -4(v + -4) + v = 30 + 4v Reorder the terms: -4(-4 + v) + v = 30 + 4v (-4 * -4 + v * -4) + v = 30 + 4v (16 + -4v) + v = 30 + 4v Combine like terms: -4v + v = -3v 16 + -3v = 30 + 4v Solving 16 + -3v = 30 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 16 + -3v + -4v = 30 + 4v + -4v Combine like terms: -3v + -4v = -7v 16 + -7v = 30 + 4v + -4v Combine like terms: 4v + -4v = 0 16 + -7v = 30 + 0 16 + -7v = 30 Add '-16' to each side of the equation. 16 + -16 + -7v = 30 + -16 Combine like terms: 16 + -16 = 0 0 + -7v = 30 + -16 -7v = 30 + -16 Combine like terms: 30 + -16 = 14 -7v = 14 Divide each side by '-7'. v = -2 Simplifying v = -2
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