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Simplifying 8v + 36 = -4(v + 3) Reorder the terms: 36 + 8v = -4(v + 3) Reorder the terms: 36 + 8v = -4(3 + v) 36 + 8v = (3 * -4 + v * -4) 36 + 8v = (-12 + -4v) Solving 36 + 8v = -12 + -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. 36 + 8v + 4v = -12 + -4v + 4v Combine like terms: 8v + 4v = 12v 36 + 12v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 36 + 12v = -12 + 0 36 + 12v = -12 Add '-36' to each side of the equation. 36 + -36 + 12v = -12 + -36 Combine like terms: 36 + -36 = 0 0 + 12v = -12 + -36 12v = -12 + -36 Combine like terms: -12 + -36 = -48 12v = -48 Divide each side by '12'. v = -4 Simplifying v = -4
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