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Simplifying 4v + -36 = -4(v + 3) Reorder the terms: -36 + 4v = -4(v + 3) Reorder the terms: -36 + 4v = -4(3 + v) -36 + 4v = (3 * -4 + v * -4) -36 + 4v = (-12 + -4v) Solving -36 + 4v = -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 + 4v + 4v = -12 + -4v + 4v Combine like terms: 4v + 4v = 8v -36 + 8v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 -36 + 8v = -12 + 0 -36 + 8v = -12 Add '36' to each side of the equation. -36 + 36 + 8v = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 8v = -12 + 36 8v = -12 + 36 Combine like terms: -12 + 36 = 24 8v = 24 Divide each side by '8'. v = 3 Simplifying v = 3
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