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Simplifying 8v + 32 = 4(v + -1) Reorder the terms: 32 + 8v = 4(v + -1) Reorder the terms: 32 + 8v = 4(-1 + v) 32 + 8v = (-1 * 4 + v * 4) 32 + 8v = (-4 + 4v) Solving 32 + 8v = -4 + 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. 32 + 8v + -4v = -4 + 4v + -4v Combine like terms: 8v + -4v = 4v 32 + 4v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 32 + 4v = -4 + 0 32 + 4v = -4 Add '-32' to each side of the equation. 32 + -32 + 4v = -4 + -32 Combine like terms: 32 + -32 = 0 0 + 4v = -4 + -32 4v = -4 + -32 Combine like terms: -4 + -32 = -36 4v = -36 Divide each side by '4'. v = -9 Simplifying v = -9
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