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Simplifying 1 + 7v = -4(v + 8) Reorder the terms: 1 + 7v = -4(8 + v) 1 + 7v = (8 * -4 + v * -4) 1 + 7v = (-32 + -4v) Solving 1 + 7v = -32 + -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. 1 + 7v + 4v = -32 + -4v + 4v Combine like terms: 7v + 4v = 11v 1 + 11v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 1 + 11v = -32 + 0 1 + 11v = -32 Add '-1' to each side of the equation. 1 + -1 + 11v = -32 + -1 Combine like terms: 1 + -1 = 0 0 + 11v = -32 + -1 11v = -32 + -1 Combine like terms: -32 + -1 = -33 11v = -33 Divide each side by '11'. v = -3 Simplifying v = -3
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