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Simplifying 6v + -36 = -4(v + 4) Reorder the terms: -36 + 6v = -4(v + 4) Reorder the terms: -36 + 6v = -4(4 + v) -36 + 6v = (4 * -4 + v * -4) -36 + 6v = (-16 + -4v) Solving -36 + 6v = -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. -36 + 6v + 4v = -16 + -4v + 4v Combine like terms: 6v + 4v = 10v -36 + 10v = -16 + -4v + 4v Combine like terms: -4v + 4v = 0 -36 + 10v = -16 + 0 -36 + 10v = -16 Add '36' to each side of the equation. -36 + 36 + 10v = -16 + 36 Combine like terms: -36 + 36 = 0 0 + 10v = -16 + 36 10v = -16 + 36 Combine like terms: -16 + 36 = 20 10v = 20 Divide each side by '10'. v = 2 Simplifying v = 2
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