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