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Simplifying 6v + 36 = -8(v + -8) Reorder the terms: 36 + 6v = -8(v + -8) Reorder the terms: 36 + 6v = -8(-8 + v) 36 + 6v = (-8 * -8 + v * -8) 36 + 6v = (64 + -8v) Solving 36 + 6v = 64 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 36 + 6v + 8v = 64 + -8v + 8v Combine like terms: 6v + 8v = 14v 36 + 14v = 64 + -8v + 8v Combine like terms: -8v + 8v = 0 36 + 14v = 64 + 0 36 + 14v = 64 Add '-36' to each side of the equation. 36 + -36 + 14v = 64 + -36 Combine like terms: 36 + -36 = 0 0 + 14v = 64 + -36 14v = 64 + -36 Combine like terms: 64 + -36 = 28 14v = 28 Divide each side by '14'. v = 2 Simplifying v = 2
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