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Simplifying 3v + 30 = -4(v + -4) Reorder the terms: 30 + 3v = -4(v + -4) Reorder the terms: 30 + 3v = -4(-4 + v) 30 + 3v = (-4 * -4 + v * -4) 30 + 3v = (16 + -4v) Solving 30 + 3v = 16 + -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. 30 + 3v + 4v = 16 + -4v + 4v Combine like terms: 3v + 4v = 7v 30 + 7v = 16 + -4v + 4v Combine like terms: -4v + 4v = 0 30 + 7v = 16 + 0 30 + 7v = 16 Add '-30' to each side of the equation. 30 + -30 + 7v = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 7v = 16 + -30 7v = 16 + -30 Combine like terms: 16 + -30 = -14 7v = -14 Divide each side by '7'. v = -2 Simplifying v = -2
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