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Simplifying -32 + 7v = -3(-8 + -6v) + -4v -32 + 7v = (-8 * -3 + -6v * -3) + -4v -32 + 7v = (24 + 18v) + -4v Combine like terms: 18v + -4v = 14v -32 + 7v = 24 + 14v Solving -32 + 7v = 24 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -32 + 7v + -14v = 24 + 14v + -14v Combine like terms: 7v + -14v = -7v -32 + -7v = 24 + 14v + -14v Combine like terms: 14v + -14v = 0 -32 + -7v = 24 + 0 -32 + -7v = 24 Add '32' to each side of the equation. -32 + 32 + -7v = 24 + 32 Combine like terms: -32 + 32 = 0 0 + -7v = 24 + 32 -7v = 24 + 32 Combine like terms: 24 + 32 = 56 -7v = 56 Divide each side by '-7'. v = -8 Simplifying v = -8
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