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Simplifying 7v + 27 = -8(v + 6) Reorder the terms: 27 + 7v = -8(v + 6) Reorder the terms: 27 + 7v = -8(6 + v) 27 + 7v = (6 * -8 + v * -8) 27 + 7v = (-48 + -8v) Solving 27 + 7v = -48 + -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. 27 + 7v + 8v = -48 + -8v + 8v Combine like terms: 7v + 8v = 15v 27 + 15v = -48 + -8v + 8v Combine like terms: -8v + 8v = 0 27 + 15v = -48 + 0 27 + 15v = -48 Add '-27' to each side of the equation. 27 + -27 + 15v = -48 + -27 Combine like terms: 27 + -27 = 0 0 + 15v = -48 + -27 15v = -48 + -27 Combine like terms: -48 + -27 = -75 15v = -75 Divide each side by '15'. v = -5 Simplifying v = -5
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