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Simplifying -27 = 8v + 7(v + -6) Reorder the terms: -27 = 8v + 7(-6 + v) -27 = 8v + (-6 * 7 + v * 7) -27 = 8v + (-42 + 7v) Reorder the terms: -27 = -42 + 8v + 7v Combine like terms: 8v + 7v = 15v -27 = -42 + 15v Solving -27 = -42 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -27 + -15v = -42 + 15v + -15v Combine like terms: 15v + -15v = 0 -27 + -15v = -42 + 0 -27 + -15v = -42 Add '27' to each side of the equation. -27 + 27 + -15v = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -15v = -42 + 27 -15v = -42 + 27 Combine like terms: -42 + 27 = -15 -15v = -15 Divide each side by '-15'. v = 1 Simplifying v = 1
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