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Simplifying 5v + -36 = -6(v + -5) Reorder the terms: -36 + 5v = -6(v + -5) Reorder the terms: -36 + 5v = -6(-5 + v) -36 + 5v = (-5 * -6 + v * -6) -36 + 5v = (30 + -6v) Solving -36 + 5v = 30 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -36 + 5v + 6v = 30 + -6v + 6v Combine like terms: 5v + 6v = 11v -36 + 11v = 30 + -6v + 6v Combine like terms: -6v + 6v = 0 -36 + 11v = 30 + 0 -36 + 11v = 30 Add '36' to each side of the equation. -36 + 36 + 11v = 30 + 36 Combine like terms: -36 + 36 = 0 0 + 11v = 30 + 36 11v = 30 + 36 Combine like terms: 30 + 36 = 66 11v = 66 Divide each side by '11'. v = 6 Simplifying v = 6
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