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Simplifying 3v + 12 = -4(v + 4) Reorder the terms: 12 + 3v = -4(v + 4) Reorder the terms: 12 + 3v = -4(4 + v) 12 + 3v = (4 * -4 + v * -4) 12 + 3v = (-16 + -4v) Solving 12 + 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. 12 + 3v + 4v = -16 + -4v + 4v Combine like terms: 3v + 4v = 7v 12 + 7v = -16 + -4v + 4v Combine like terms: -4v + 4v = 0 12 + 7v = -16 + 0 12 + 7v = -16 Add '-12' to each side of the equation. 12 + -12 + 7v = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 7v = -16 + -12 7v = -16 + -12 Combine like terms: -16 + -12 = -28 7v = -28 Divide each side by '7'. v = -4 Simplifying v = -4
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